Goodman was born in Guildford, England, on January 26, 1951. As a child he sang with the Choir of King's College, Cambridge, appearing on his first recording in 1959. He achieved international renown from a 1963 Decca recording of Allegri's Miserere.
Goodman enrolled at the Royal College of Music in London, where he studied violin and organ. From 1974-1976 he was conductor of the Reading Youth Orchestra. In 1975 he founded (and served as director of) the Brandenburg Consort, which disbanded in 2001. From 1977-1985 the busy Goodman worked in various European orchestras playing violin, usually as the concertmaster and often as a soloist.
From 1979-1986 he served as co-director of the Parley of Instruments. But even busier times lay ahead: from 1986-1994 he was principal conductor of the Hanover Band, a group with whom he made many acclaimed recordings, including cycles on period instruments (premieres both) of the Beethoven and Schubert symphonies; from 1989-2003 he served as music director of the European Union Baroque Orchestra.
Since 2003 Goodman has been director emeritus of the EUBO. In the new century he has held additional conducting posts: Manitoba Chamber Orchestra, Canada (1999-2005), and Holland Symfonia (2003-2006). In later years, he served as principal guest conductor of the English Chamber Orchestra., Rovi