| 1955 | Pres and Sweets | Lester Young & Harry “Sweets” Edison | | 2 |
| 1957 | Gee Baby Ain’t I Good to You | Harry Edison | | 1 |
| 1957 | Tour de Force | Roy Eldridge, Dizzy Gillespie, Harry Edison | | 4 |
| 1962 | Jawbreakers | Sweets Edison and Lockjaw Davis | | 1 |
| 1977 | Harry "Sweets" Edison, Eddie "Lockjaw" Davis & Richard Boone with Leonardo Pedersens's Jazzkapel | Harry "Sweets" Edison, Eddie "Lockjaw" Davis · Richard Boone, Leonardo Pedersens Jazzkapel | | 2 |
| 1978 | Just Friends | Zoot Sims & Harry “Sweets” Edison | | 1 |
| 1978 | Dave Pell's Prez Conference | Dave Pell Featuring Harry Edison | | 1 |
| 1978 | Vol. 1 | Eddie "Lockjaw" Davis, Harry "Sweets" Edison, John Darvilles Quartet With Kenny Drew | | 1 |
| 1979 | Georges Brassens joue avec Moustache et Les Petits Français | Georges Brassens joue avec Moustache et : Les Petits Français, Joe Newman, Eddie Davis, Harry Edison, Cat Anderson, Dorothy Donegan | | 3 |
| 1982 | Vol. 2 Opus Funk | Harry Edison & Eddie "Lockjaw" Davis | | 1 |
| 1986 | Jesper Thilo Quintet Featuring Harry Edison | Jesper Thilo Quintet, Harry Edison | | 1 |
| 1986 | There'll Never Be Another You! | Harry “Sweets” Edison Meets Torsten Zwingenberger | | 1 |
| 1987 | Oscar Peterson + Harry Edison + Eddie "Cleanhead" Vinson | Oscar Peterson + Harry Edison + Eddie “Cleanhead” Vinson | | 1 |
| 1987 | Ben and Sweets | Ben Webster & Harry “Sweets” Edison | | 3 |
| 1990 | Swing Summit | Harry Edison, Buddy Tate, Frank Wess, Hugh Lawson, Ray Drummond, Bobby Durham | | 1 |
| 1990 | The Trumpet Kings Meet Joe Turner | Dizzy Gillespie, Roy Eldridge, Harry “Sweets” Edison, Clark Terry, Joe Turner | | 1 |
| 1992 | Oscar Peterson & Harry Edison | Oscar Peterson & Harry Edison | | 3 |
| 1992 | Swing Summit | Harry Edison | | 1 |
| 1993 | Oh Captain! The First Jazz Show‐Tune Album With Vocals | Leonard Feather · Dick Hyman All Stars featuring Coleman Hawkins, Osie Johnson, Tony Scott, Art Farmer, Oscar Pettiford, Jimmy Cleveland, Harry Edison and others, sung by Marilyn Moore and Jackie Paris | | 2 |
| 1994 | Edison’s Lights | Harry “Sweets” Edison | | 2 |
| 1994 | After Dark | Buddy Tate, Harry "Sweets" Edison, Roy Williams, Brian Lemon | | 1 |
| 1995 | Jazz at the Philharmonic 1983 | Eddie “Lockjaw” Davis / Harry “Sweets” Edison / Al Grey | | 1 |
| 1996 | Simply Sweets | Harry Edison and Eddie "Lockjaw" Davis | | 1 |
| 1996 | Sweets For The Sweet | Harry “Sweets” Edison | | 1 |
| 1997 | Live at the Iridium | Harry “Sweets” Edison | | 1 |
| 1998 | D.S.B. Kino | Alex Riel, Harry "Sweets" Edison, Roger Kellaway, Mads Vinding | | 1 |
| 1999 | Just Friends | Harry "Sweets" Edison | | 1 |
| 2000 | Sonny, Sweets & Jaws | Sonny Stitt, Eddie "Lockjaw" Davis & Harry “Sweets” Edison | | 2 |
| 2000 | Laughin' to Keep From Cryin' | Lester Young, Roy Eldridge & Harry Edison | | 2 |
| 2001 | Together / Have a Good Time | Joe Williams & Harry “Sweets” Edison | | 1 |
| 2002 | Just You, Just Me | Harry «Sweets» Edison, Earl «Fatha» Hines | | 1 |
| 2003 | Buddy and Sweets | Buddy Rich & Harry “Sweets” Edison | | 1 |
| 2004 | Complete at Midnight & at Riverside Sessions | Harry “Sweets” Edison & Charlie Shavers | | 1 |
| 2005 | Sweets | Harry “Sweets” Edison | | 3 |
| 2006 | The Trumpet Kings Meet Joe Turner | Dizzy Gillespie · Roy Eldridge · Harry “Sweets” Edison · Clark Terry | | 1 |
| 2006 | The Quintet Studio Sessions | Ben Webster & Harry “Sweets” Edison | | 1 |
| 2008 | Jazz Giants '58 | Stan Getz, Gerry Mulligan, Harry Edison & Louis Bellson and The Oscar Peterson Trio | 5 | 2 |
| 2017 | Summer 1978 | Harry Edison | | 1 |
| 2019 | I cried for you | Buddy Tate & Harry Edison | | 1 |
| 2021 | Something Bigger | Harry “Sweets” Edison, Barney Kessel,Jimmy Rowles | | 1 |
| — | Can't Get Out of This Mood | Harry “Sweets” Edison | | 1 |
| — | For My Pals | Harry “Sweets” Edison | | 1 |
