Azumi can be either a Japanese given name or surname.
People
Jun Azumi, a politician
Ryō Azumi (fl. 1980s to present), a Japanese manga artist
Azumi Inoue (born 1965), a Japanese singer
Azumi Kawashima (born 1979), a Japanese AV pornography actress
Azumi Muto (1986–2006), a Japanese actress and murder victim
Azumi Uehara (born 1984), a J-pop singer
Azumi Sawa (born 1977), an investor
a member of the Japanese group Wyolica active in 2000
Fictional character
Azumi, the titular character of the manga and film series Azumi
Hime Azumi, a character in the manga Tokyo Mew Mew
Azumi Hidaka, a character in the Mirmo! manga series
Azumi Yamada, a character in Hen
Azumi, a character in the tokusatsu Kamen Rider Blade, human guise of the Serpent Undead