He was born in Sydney but raised in the United States and studied at the Princeton University. From 1972 to 1978, he was the curator of mammals at the Queensland Museum. Since 1983, he has been involved with the exploration of the Riversleigh fossil site in Queensland.
He is opposed to creationism and regularly engages in active debates with creationists.
During his time as director of the Australian Museum, he was the initiator of attempts to clone the Thylacinus cynocephalus, the Tasmanian tiger, an animal extinct since 1936. Mike Archer has stated that he is obsessed with bringing the thylacine back to life via cloning. He has said that his obsession is going to push the research further and further until he and his team will have their first living thylacine clone.
In 2011, Archer published an article asserting that a vegetarian diet causes more suffering and deaths of animals than an omnivorous diet. All Animals Australia has published a rebuttal.
Archer is married to the paleontologist Suzanne Hand, with whom he has two daughters.
Archer, M. and Clayton, C. (Eds.) (1984). Vertebrate Zoogeography & Evolution in Australasia: Animals in Space & Time. Hesperian Press. ISBN 978-0-85905-036-4
Archer, M. and Flannery, T.F. with Grigg, G.C. (1985) The Kangaroo. Kevin Weldon Press. ISBN 978-0-949708-22-9
Archer, M., Hand, S. and Godthelp, H. (1986). Uncovering Australia's Dreamtime. Surrey Beatty & Sons ISBN 0-949324-07-8
Archer, M. (Ed.) (1987). Possums and Opossums: Studies in Evolution. Surrey Beatty & Sons in association with the Royal Zoological Society of New South Wales. ISBN 0-949324-05-1
Cronin, L. (Ed.) (1987). Koala: Australia's Endearing Marsupial. Reed Books Pty, Ltd. ISBN 978-0-7301-0158-1 (text by Archer et al.)
Long, J.A., Archer, M., Flannery, T. and Hand, S. (2002). Prehistoric mammals of Australia and New Guinea: One hundred million years of evolution. University of NSW Press.. ISBN 978-0-86840-435-6
Archer, M., Hand, S. and Godthelp, H. (2000). Australia's lost world: Prehistoric animals of Riversleigh. Indiana University Press. ISBN 978-0-253-33914-0