|Covid-19|January 3–4 – Sino-French War – Battle of Núi Bop: French troops under General Oscar de Négrier defeat a numerically superior Qing Chinese force in northern Vietnam.
January 4 – The first successful appendectomy is performed by Dr. William W. Grant on Mary Gartside.
January 17 – Mahdist War in Sudan: British victory at the Battle of Abu Klea.
January 20 – LaMarcus Adna Thompson patents a roller coaster.
January 24 – Irish terrorists damage Westminster Hall and the Tower of London with dynamite.
January 26 – Mahdist War in Sudan: Troops loyal to the Mahdi Muhammad Ahmad conquer Khartoum. The British commander Charles George Gordon is killed.
February 5 – King Léopold II of Belgium establishes the Congo Free State as a personal possession.
February 7 – The play La vida alegre y muerte triste by dramatist José Echegaray opens.
February 9 – The first Japanese arrive in Hawaii.
February 16 – Charles Dow publishes the first edition of the Dow Jones Industrial Average. The index stood at a level of 62.76, and represented the dollar average of 14 stocks: 12 railroads and two leading American industries.
February 21 – United States President Chester A. Arthur dedicates the Washington Monument.
Sino-French War: France gains an important victory over China in the Battle of Đồng Đăng in the Tonkin region of modern-day Vietnam.
An English executioner fails after several attempts to hang John Babbacombe Lee, sentenced for the murder of his employer Emma Keyse; Lee's sentence is commuted to life imprisonment.
February 26 – The final act of the Berlin Conference regulates European colonization and trade in the "scramble for Africa".
February 28 – February concludes without having a full moon.
March 3 – A subsidiary of the American Bell Telephone Company, American Telephone and Telegraph (AT&T), is incorporated in New York.
March 4 – Grover Cleveland is sworn in as President of the United States.
March 7 – The Roman Catholic Archdiocese of Madrid is founded.
March 14 – Gilbert and Sullivan's comic opera The Mikado opens at the Savoy Theatre in London.
The Prussian government, motivated by Otto von Bismarck, expels all ethnic Poles and Jews without German citizenship from Prussia in the Prussian deportations.
North-West Rebellion in Canada by the Métis people, led by Louis Riel, begins with the Battle of Duck Lake.
First legal cremation in England: Mrs Jeannette C. Pickersgill of London, "well known in literary and scientific circles", is cremated by the Cremation Society at Woking, Surrey.
March 30 – The Battle for Kushka triggers the Panjdeh Incident, which nearly gives rise to war between the British Empire and Russian Empire.
March 31 – The United Kingdom establishes the Bechuanaland Protectorate.
April 2 – Frog Lake Massacre: Cree warriors led by Wandering Spirit kill 9 settlers at Frog Lake in the Northwest Territories.
April 3 – Gottlieb Daimler is granted a German patent for his single-cylinder water-cooled engine design.
April 11 – Luton Town Football Club are created by the merger of (Luton) Wanderers F.C. and Luton Excelsior F.C. in England.
April 14 – Final engagement of Sino-French War, with a French victory at Kép. China withdraws its forces from Tonkin.
April 30 – A bill is signed in the New York State legislature forming the Niagara Falls State Park.
Good Housekeeping magazine goes on sale for the first time in the United States.
North-West Rebellion – Battle of Cut Knife: Cree and Assiniboine warriors win their largest victory over Canadian forces.
The Congo Free State is established by King Léopold II of Belgium.
May 9–12 – Battle of Batoche: Canadian government forces inflict a decisive defeat on Métis rebels, bringing an end to their part in the North-West Rebellion.
May 19 – After a three-month legislative battle in the Illinois General Assembly, John A. Logan is re-elected to the United States Senate.
May 20 – The first public train departs Swanage railway station on the newly built Swanage Railway in England.
June 3 – Battle of Loon Lake: The Canadian North-West Mounted Police and allies force a party of Plains Cree warriors to surrender in the last skirmish of the North-West Rebellion and the last battle fought on Canadian soil.
June 17 – The Statue of Liberty arrives in New York Harbor.
June 23 – Robert Gascoyne-Cecil, 3rd Marquess of Salisbury, becomes Prime Minister of the United Kingdom.
June 24 – Randolph Churchill becomes Secretary of State for India.
July 6 – Louis Pasteur and Émile Roux successfully test their rabies vaccine. The patient is Joseph Meister, a boy who was bitten by a rabid dog.
July 14 – Sarah E. Goode is the first female African-American to apply for and receive a patent, for the invention of the hideaway bed.
July 15 – The Reservation at Niagara Falls opens, enabling access to all for free. Thomas V. Welch is the first Superintendent of the Park.
July 20 – Professional football is legalized in Britain.
July 23 – Ulysses S. Grant, American Civil War general and the 18th President of the United States, dies at age 63.
July 28 – Louis Riel's trial for treason begins in Regina.
August 19 – S Andromedae, the only supernova seen in the Andromeda Galaxy so far by astronomers, and the first ever noted outside the Milky Way, is discovered.
August 29 – Gottlieb Daimler is granted a German patent for the Daimler Reitwagen, regarded as the first motorcycle, which he has produced with Wilhelm Maybach.
September 2 – The Rock Springs massacre occurs in Rock Springs, Wyoming; 150 white miners attack their Chinese coworkers, killing 28, wounding 15, and forcing several hundred more out of town.
September 6 – Eastern Rumelia declares its union with Bulgaria, completing the Unification of Bulgaria.
September 8 – Saint Thomas Academy is founded in Minnesota.
September 12 – Arbroath FC defeats Bon Accord FC, 36-0, in the highest score ever in professional football.
September 15 – A train wreck of the P. T. Barnum Circus kills giant elephant Jumbo at St. Thomas, Ontario.
September 18 – The union of Eastern Rumelia with Bulgaria is proclaimed at Plovdiv.
September 30 – A British force abolishes the Boer republic of Stellaland and adds it to British Bechuanaland.
October 3 – Millwall F.C. is founded by workers on the Isle of Dogs in London as Millwall Rovers.
October 13 – The Georgia Institute of Technology is established in Atlanta as the Georgia School of Technology.
October 25 – Symphony No. 4 (Brahms) is premiered in Meiningen, Germany; with Johannes Brahms himself conducting it.
November – The Third Anglo-Burmese War begins.
November 7 – Canadian Pacific Railway: In Craigellachie, British Columbia, construction ends on a railway extending across Canada. Prime Minister Sir John A. Macdonald considers the project to be vital to Canada due to the exponentially greater potential for military mobility.
November 14–November 28 – Serbo-Bulgarian War: Serbia declares war against Bulgaria but is defeated in the Battle of Slivnitsa on November 17–November 19.
November 16 – Louis Riel, Canadian rebel leader of the Métis, is executed for high treason.
December 1 – The U.S. Patent Office acknowledges this date as the day Dr Pepper is served for the very first time; the exact date of Dr Pepper's invention is unknown.
December 28 – 72 Indian lawyers, academics and journalists gather in Bombay to form the Congress Party.
Karl Benz produces the Benz Patent-Motorwagen, regarded as the first automobile (patented and publicly launched the following year).
John Kemp Starley demonstrates the Rover safety bicycle, regarded as the first practical modern bicycle.
Chile's Matrimony and Civil Registry laws come into effect.
A cholera outbreak occurs in Spain.
The Home Insurance Building in Chicago, designed by William Le Baron Jenney, is completed. With ten floors and a fireproof weight-bearing metal frame, it is regarded as the first skyscraper.
Bicycle Playing Cards are first produced.
Soldiers' and Sailors' Families Association is established in the United Kingdom to provide charitable assistance.
Camp Dudley, the oldest continually running boys' camp in the United States, is founded.
John Ormsby publishes his new English translation of Don Quixote, acclaimed as the most scholarly made up to that time. It will remain in print through the 20th Century.
Michigan Technological University (originally Michigan Mining School) opens its doors for the first time in what in modern times is the Houghton County Fire Hall.
January 6 – Florence Turner, American actress (d. 1946)
January 8 – John Curtin, Prime Minister of Australia (d. 1945)
Jack Hoxie, American actor, rodeo performer (d. 1965)
Alice Paul, American women's rights activist (d. 1977)
January 12 – Harry Benjamin, American endocrinologist and sexologist (d. 1986)
January 16 – Zhou Zuoren, Chinese writer (d. 1967)
January 21 – Umberto Nobile, Italian politician and airship designer (d. 1978)
January 25 – Roy Geiger, American general (d. 1947)
Michael Considine, Australian politician (d. 1959)
Harry Ricardo, English mechanical engineer; engine pioneer (d. 1974)
Jerome Kern, American composer (d. 1945)
Eduard Künneke, German composer (d. 1953)
Harry Ruby, American musician, composer, and writer (d. 1974)
January 28 – Władysław Raczkiewicz, former President of Poland (d. 1947)
February 1 – Friedrich Kellner, German diarist, (d. 1970)
Sinclair Lewis, American writer, Nobel Prize laureate (d. 1951)
Hugo Sperrle, German field marshal (d. 1953)
February 9 – Alban Berg, Austrian composer (d. 1935)
February 10 – Rupert Downes, Australian general (d. 1945)
Bess Truman, First Lady of the United States (d. 1982)
George Fitzmaurice, French-American Motion Picture director (d. 1940)
Syed Zafarul Hasan, Muslim philosopher (d. 1949)
Zengo Yoshida, Japanese admiral (d. 1966)
February 15 – Princess Alice of Battenberg (d. 1969)
February 18 – Richard S. Edwards, American admiral (d. 1956)
February 21 – Sacha Guitry, Russian-born dramatist, writer, director, and actor (d. 1957)
Chester W. Nimitz, American admiral (d. 1966)
Stanisław Ignacy Witkiewicz, Polish writer and painter (d. 1939)
March 6 – Ring Lardner, American writer (d. 1933)
March 7 – John Tovey, British admiral of the fleet (d. 1971)
March 11 – Sir Malcolm Campbell, English land and water racer (d. 1948)
March 14 – Raoul Lufbery, World War I American pilot (d. 1918)
March 31 – Pascin, Bulgarian painter (d. 1930)
April 1 – Wallace Beery, American actor (d. 1949)
Allan Dwan, Canadian-born film director (d. 1981)
St John Philby, Ceylonese-born British Arabist (d. 1960)
April 4 – Bee Ho Gray, American Wild West star, silent film actor and vaudeville performer (d. 1951)
April 12 – Hermann Hoth, German general (d. 1971)
John Cunningham, British admiral (d. 1962)
Otto Plath, American father of poet Sylvia Plath and entomologist (d. 1940)
Vean Gregg, American baseball player (d. 1964)
April 17 – Karen Blixen, Danish author (d. 1962)
April 29 – Frank Jack Fletcher, American admiral (d. 1973)
Hedda Hopper, American columnist (d. 1966)
Lee W. Stanley, American cartoonist (d. 1970)
May 5 – Agustín Pío Barrios, Paraguayan guitarist and composer (d. 1944)
May 7 – George "Gabby" Hayes, American actor (d. 1969)
May 9 – Eduard C. Lindeman, American social worker and author (d. 1953)
May 12 – Paltiel Daykan, Russian-born Israeli jurist (d. 1969)
May 14 – Otto Klemperer, German conductor (d. 1973)
May 15 – Robert James Hudson, Governor of Southern Rhodesia (d. 1963)
May 20 – Faisal I of Iraq (d. 1933)
Oscar A. C. Lund, Swedish film actor, director, and writer (d. 1963)
Princess Sophie of Schönburg-Waldenburg, consort of William of Wied, Prince of Albania (d. 1936)
May 22 – Toyoda Soemu, Japanese admiral (d. 1957)
May 24 – Susan Sutherland Isaacs, educational psychologist and psychoanalyst (d.1948)
May 27 – Richmond K. Turner, American admiral (d. 1961)
May 30 – Arthur E. Andersen, American accountant (d. 1947)
June 2 – Hans Gerhard Creutzfeldt, German neuropathologist (d. 1964)
June 5 – Georges Mandel, French politician and World War II hero (d. 1944)
June 9 – John Edensor Littlewood, British mathematician (d. 1977)
June 14 – E. L. Grant Watson, writer, anthropologist, and biologist (d. 1970)
June 13 – John Palm, Curaçao born composer (d. 1925)
June 21 – Harry A. Marmer, Ukrainian-born American mathematician and oceanographer (d. 1953)
June 22 – Milan Vidmar, Slovenian electrical engineer and chess player (d. 1962)
July 4 – Louis B. Mayer, American film producer (d. 1957)
July 6 – Ernst Busch, German field marshal (d. 1945)
July 8 – Paul Leni, German film director; The Cat and the Canary (d. 1929)
July 14 – Sisavang Vong, king of Laos (d. 1959)
July 19 – Aristides de Sousa Mendes, Portuguese diplomat and humanitarian (d. 1954)
July 28 – Monte Attell, American boxer (d. 1960)
July 29 – Theda Bara, American silent film actress (d. 1955)
August 1 – George de Hevesy, Hungarian chemist, Nobel Prize laureate (d. 1966)
August 7 – Billie Burke, American actress (d. 1970)
August 18 – Bede Fanning, Australian public servant (d. 1970)
September 7 – Eleonore Baur, German Nazi and only woman to participate in Munich Beer Hall Putsch (d. 1981)
D. H. Lawrence, English novelist (d. 1930)
Julian C. Smith, American general (d. 1975)
September 15 – James P. Boyle, American politician (d. 1939)
September 20 – Enrico Mizzi, 6th Prime Minister of Malta (d. 1950)
September 21 – Thomas de Hartmann, Russian composer (d. 1956)
Ben Chifley, Prime Minister of Australia (d. 1951)
Erich von Stroheim, Austrian-born motion picture actor & director (d. 1957)
George Gaul, American actor (d. 1939)
September 25 – Mineichi Koga, Japanese admiral (d. 1944)
October 3 – Sophie Treadwell, American playwright and journalist (d. 1970)
October 7 – Niels Bohr, Danish physicist, Nobel Prize laureate (d. 1962)
October 9 – Raymond DeWalt, American inventor and businessman (d. 1961)
October 11 – François Mauriac, French writer, Nobel Prize laureate (d. 1970)
October 24 – Rachel Katznelson-Shazar, Zionist political figure and wife of third President of Israel (d. 1975)
October 30 – Ezra Pound, American poet (d. 1972)
November 1 – Anton Flettner, German aviation engineer and inventor (d. 1961)
November 2 – Harlow Shapley, American astronomer (d. 1972)
November 5 – Will Durant, American philosopher and writer (d. 1981)
Eva Morris, last surviving person documented as born in 1885 (d. 2000)
Tomoyuki Yamashita, Japanese general (d. 1946)
November 9 (October 28 (O.S.)) – Velimir Khlebnikov, Russian poet (d. 1922)
George Patton, American general (d. 1945)
Edgar J. Kaufmann, American merchant and patron of Fallingwater (d. 1955)
November 15 – Frederick Handley-Page, British aviation pioneer & aircraft company founder (d. 1962)
November 20 – Heinrich Brüning, Chancellor of Germany 1930-1932 (d. 1970)
November 28 – John Willard, American playwright and actor (d. 1942)
Albert Kesselring, German field marshal (d. 1960)
Ma Zhanshan, Chinese general (d. 1950)
December 2 – George Minot, American physician, recipient of the Nobel Prize in Physiology or Medicine (d. 1950)
December 6 – Ernest Palmer, American cinematographer (d. 1978)
December 13 – Mario Talavera, Mexican songwriter (d. 1960)
John Lavarack, Australian general, Governor of Queensland (1946-1957) (d. 1957)
Joe "King" Oliver, American jazz musician (d. 1938)
January 11 – Mariano Ospina Rodríguez, President of Colombia (b. 1805)
January 13 – Schuyler Colfax, 17th Vice President of the United States (b. 1823)
January 26 – Charles "Chinese" Gordon, British general (killed in battle) (b. 1833)
February 1 – Sidney Gilchrist Thomas, British inventor (b. 1850)
February 8 – Nikolai Severtzov, Russian explorer and naturalist (b.1827)
February 19 – José María Pinedo, Argentinian naval commander (b. 1795)
March 12 – Próspero Fernández Oreamuno, President of Costa Rica (b. 1834)
April 2 – Justo Rufino Barrios, Central American leader (b. 1835)
April 25 – Queen Emma of Hawaii (b. 1836)
May 2 – Terézia Zakoucs, Hungarian Slovene author (b. 1817)
May 4 – Irvin McDowell, American general (b. 1818)
May 17 – Jonathan Young, United States Navy commodore (b. 1826)
May 19 – Robert Emmet Odlum, American swimming instructor, dies as result of becoming the first person to jump from the Brooklyn Bridge (b. 1851)
May 20 – Frederick Theodore Frelinghuysen, 29th United States Secretary of State (b. 1817)
May 22 – Victor Hugo, French author (b. 1802)
June 11 – Amédée Courbet, French admiral (b. 1827)
June 17 – Edwin Freiherr von Manteuffel, German field marshal (b. 1809)
June 22 – Muhammad Ahmad, Sudanese Mahdi (b. 1844)
July 23 – Ulysses S. Grant, American Civil War general and the 18th President of the United States (b. 1822)
August – Aga Khan II, Iranian religious leader (b. 1830)
August 10 – James W. Marshall, American contractor and builder of Sutter's Mill (b. 1810)
August 29 – Moriz Ludassy, Hungarian journalist (b. 1825)
September 2 – Giuseppe Bonavia, Maltese architect (b. 1821)
September 6 – Narcís Monturiol, Catalan intellectual, artist and engineer, inventor of the first combustion engine-driven submarine, which was propelled by an early form of air-independent propulsion (b. 1819).
Jumbo, African elephant, star attraction in P. T. Barnum's circus (train accident) (b. 1861)
Carl Spitzweg, German romanticist painter (b. 1808)
October 29 – George B. McClellan, American Civil War general (b. 1826)
November 16 – Louis Riel, Canadian-American leader (executed) (b. 1844)
November 24 – Nicolás Avellaneda, Argentine president (b. 1837)
King Alfonso XII of Spain (b. 1857)
Thomas Hendricks, 21st Vice President of the United States (b. 1819)
November 26 – Thomas Andrews, Irish chemist (b. 1813)
December 8 – William Henry Vanderbilt, American entrepreneur (b. 1821)
December 15 – Ferdinand II of Portugal, consort of Queen Maria II (b. 1816)
date unknown - Eugenia Kisimova, Bulgarian feminist, philanthropist and women's rights activist (b. 1831)
Karolina Sobańska, Polish noble and agent (b. circa 1794)
September 2–September 7 – The film Back to the Future Part III takes place during this time.
The stage "Bury My Shell at Wounded Knee" in the 1992 video game Teenage Mutant Ninja Turtles: Turtles in Time is set in this year.
The Nickelodeon TV movie, Lost in the West takes place in this year.
1885 (MDCCCLXXXV) was a common year starting on Thursday (dominical letter D) of the Gregorian calendar and a common year starting on Tuesday (dominical letter F) of the Julian calendar, the 1885th year of the Common Era (CE) and Anno Domini (AD) designations, the 885th year of the 2nd millennium, the 85th year of the 19th century, and the 6th year of the 1880s decade. As of the start of 1885, the Gregorian calendar was 12 days ahead of the Julian calendar, which remained in localized use until 1923.