- Hancock, Herbie – Takin’ Off, 1962
- Hancock, Herbie – My Point Of View, 1964
- Hancock, Herbie – Inventions & Dimension, 1964
- Hancock, Herbie – Empyrean Isles, 1964
- Hancock, Herbie – Maiden Voyage, 1965
- Hancock, Herbie – Speak Like A Child, 1968
- Hancock, Herbie – The Prisoner, 1969
- Hancock, Herbie – Fat Albert Rotunda. , 1969
- Hancock, Herbie – Mwandishi, 1971
- Hancock, Herbie – Crossings, 1972
- Hancock, Herbie – Sextant, 1973
- Hancock, Herbie – Headhunters, 1973
- Hancock, Herbie – Thrust, 1974
- Hancock, Herbie – Man-Child, 1975
- Hancock, Herbie – Secrets, 1976
- Hancock, Herbie – Sunlight, 1978
- Haynes, Roy – Senyah, 1972
- Headhunters, The – Straight From The Gate, 1977
- Hedges, Michael – Breakfast In The Field, 1981
- Hedges, Michael – Aerial Boundaries, 1984
- Hedges, Michael – Tap Root, 1990
- Henderson, Joe – The Complete Joe Henderson Blue Note Studio Sessions (Mosaic Box), 2021
- Page One
- Our Thing
- Inner Urge
- Mode For Joe
- In & Out
- W. Kenny Dorham – Una Mas
- W. Kenny Dorham – Trompetta Toccata
- Hendrix, Jimi – Album, Are You Experienced? 1967
- Hendrix, Jimi – Axis: Bold As Love, 1967
- Hendrix, Jimi – Electric Ladyland, 1968
- High Llamas, The – Santa Barbara, 1992
- High Llamas, The – Gideon Gaye, 1994
- High Llamas, The – Hawaii, 1996
- High Llamas, The – Cold & Bouncy, 1998
- High Llamas, The – Snowbug, 1999
- High Llamas, The – Buzzle Bee, 2000
- High Llamas, The – Beet, Maize, Corn, 2003
- High Llamas, The – Can Cladders, 2007
- Holmes, Richard ‘Groove’ – Bowl of Soul
- Holmes, Richard ‘Groove’ – The Classic Albums Collection:
- ‘Groove’, w Ben Webster, Les McCann
- Groovin’ w Jug
- Somethin’ Special
- After Hours
- Tell It Like It Tis
- Book of Blues, Vol. I
- Soul Message
- Living Soul