- The Headhunters -- The Heads (American)
- The Heads (British) -- The Heard
- The Heard -- The Heart Ring
- The Heart Strings -- The Heartbreakers
- The Heartbreakers -- The Heartless Devils
- The Hearts -- The Heat Tape
- The Heated -- The Heather Roberts Band
- The Heathers -- The Heavenly Heirs
- The Heavenly States -- The Heavy Circles
- The Heavy Experience -- The Heavy Reggae Machine
- The Heavy Woolies -- The Heclectic
- The Hectics -- The Heelees
- The Heels -- The Heise Bros.
- The Heise Bros. -- The Helio Sequence
- The Heliocentrics -- The Hellbusters
- The Hellcats -- The Hello People
- The Hello Strangers -- The Helm
- The Helmholtz Resonators -- The Helper Monkeys
- The Helpers -- The Henchmen
- The Henchmen -- The Henry Mancini Institute Orchestra & Big Band
- The Henry Millers -- The Heptones
- The Herald Angels -- The Here and Now