Educated at Cambridge University, England, where he met his first wife, Margaret Scott, Michael Boddy emigrated to Australia in 1959. After settling first in Hobart, Tasmania, where he taught English at the Hobart Matriculation College, Boddy moved to Sydney, becoming heavily involved in the city's theatre industry during the 1960s. He also appeared in several films, notably They Found a Cave (1962) in which he played the character Sgt. Bentley, and Age of Consent (1969) which starred James Mason and Helen Mirren.
As a playwright his most well-known production, The Legend of King O'Malley (co-written with Bob Ellis) was also his first. After premiering in 1970 the play won for Boddy and Ellis the 1970 James Cook Bicentennial Play Competition prize. That same year the Nimrod Theatre Company staged its first production, Biggles, which was co-authored by Boddy, Ron Blair and Marcus Cooney. The following year Boddy's Hamlet on Ice was staged to much critical acclaim.
During the early 1970s Boddy began writing a number of educational plays for children, based on the works of Shakespeare, and he later collaborated with Marcus Cooney on several historical plays and melodramas. Boddy's adaptation of Norman Lindsay's A Curate in Bohemia was also produced in 1972 as part of the ABC Television's Norman Lindsay Festival.
Boddy's play Cradle of Hercules, produced by the Old Tote theatre company in 1974 was significant for giving an aboriginal actor, Jack Charles, the lead role - one of the first such opportunities for indigenous actors in Australian theatre history. During the late 1970s Boddy concentrated on writing for the Music Hall Theatre in Sydney, producing an array of melodramas such as Lust for Power, or, Perils At Parramatta (1977) and Crushed By Desire (1978). Boddy has won several awards for his work including two Australian Writer's Guild Awards, the Erik Kuttner Award (1965) and the Producers and Directors Guild of Australia Award (1971).
Boddy is also the author of works on food and home economics, A Businessman's Guide to Wine (1971), Michael Boddy's Good Food Book (1984) and Surviving in the Eighties (1980), the latter co-written with Richard Beckett and illustrated by his wife, artist Janet Dawson Boddy.