Albümleri
- New Vibe Man in Town (RCA, 1961)
- Who Is Gary Burton? (RCA, 1962)
- 3 in Jazz (RCA, 1963)
- Something`s Coming (RCA, 1963)
- The Groovy Sound of Music (RCA, 1964)
- The Time Machine (RCA, 1966)
- Tennessee Firebird (RCA, 1966)
- Duster (RCA, 1967)
- Lofty Fake Anagram (RCA, 1967)
- A Genuine Tong Funeral (RCA, 1968) Carla Bley`le birlikte
- Gary Burton Quartet in Concert Live (RCA, 1968)
- Country Roads and Other Places (RCA, 1968)
- Gary Burton & Keith Jarrett (Atlantic, 1969)
- Throb (Atlantic, 1969)
- Good Vibes (Atlantic, 1970)
- Paris Encounter (Atlantic, 1970)
- Live in Tokyo (Atlantic, 1971)
- Alone at Last (Atlantic, 1971)
- Crystal Silence (ECM, 1972) Chick Corea ile
- The New Quartet (ECM, 1973)
- Seven Songs for Quartet and Chamber Orchestra (ECM, 1974)
- Hotel Hello (ECM, 1974) Steve Swallow ile
- Matchbook (ECM, 1974) Ralph Towner ile
- Ring (ECM, 1974) Eberhard Weber ile
- Dreams So Real (1975)
- Passengers (ECM, 1976) Eberhard Weber ile
- Times Square (ECM, 1978)
- Duet (ECM, 1979) Chick Corea ile
- Easy as pie (ECM, 1980)
- In Concert, Zurich, October 28, 1979 (Konser kaydı)(ECM, 1980)
- Picture This (ECM, 1982)
- Real life hits (ECM, 1984)
- Gary Burton and the Berklee All-Stars (JVC, 1985)
- Whiz kids (ECM, 1986)
- Slide Show (ECM, 1986)
- Times Like These (GRP, 1988)
- The New Tango (1988) ístor Piazzolla ile
- Reunion (GRP, 1989) Pat Metheny, Will Lee, Peter Erskine, Mitchel Forman ile
- Right Time, Right Place (GNP Crescendo, 1990)
- Cool Nights (GRP, 1991)
- Six Pack (GRP, 1992)
- It`s Another Day (GRP, 1993)
- Face to Face (GRP, 1994)
- Live in Cannes (Jazz World, 1996)
- ístor Piazzolla Reunion: A Tango Excursion (Concord Jazz, 1996)
- Departure (Concord Jazz, 1997)
- Like Minds Chick Corea, Pat Metheny, Roy Haynes ve Dave Holland ile (1998)
- Libertango: The Music of ístor Piazzolla (Concord Jazz, 2000)
- For Hamp, Red, Bags, and Cal (Concord Jazz, 2001)
- Virtuosi (Concord, 2002)
- Music of Duke Ellington (LRC Ltd, 2003)
- Generations (Concord Jazz, 2004)
- Next Generation (Concord, 2005)
- Live in Montreux 2002 (Eagle Eye, 2006)