| 3326 | | The Headpins | |
| 3327 | | The Headpopperz | |
| 3328 | | The Heads | |
| 3329 | | The Headstones | |
| 3330 | | The Heart Attacks | Punk |
| 3331 | | The Heart Fixers | |
| 3332 | | The Heartbeats | |
| 3333 | | The Heartfixers | |
| 3334 | | The Hearth Lyrics by Theatre Of Tragedy | |
| 3335 | | The Hearts | |
| 3336 | | The Heavenly States | Indie |
| 3337 | | The Heavy | Blues/Indie/Rock/Soul |
| 3338 | | The Heavy Blinkers | Indie/Pop |
| 3339 | | The Heavy Circles | Indie/Pop |
| 3340 | | The Heisman Hopefuls | Pop punk/Punk |
| 3341 | | The Helio Sequence | Electronic/Indie/Rock |
| 3342 | | The Hellacopters | |
| 3343 | | The Henningsens | |
| 3344 | | The Henry Clay People | Indie/Rock |
| 3345 | | The Henry Moore Lyrics by Mclauchlin Murray | |
| 3346 | | The Herbaliser | |
| 3347 | | The Herd | Hip-Hop |
| 3348 | | the hereafter | Indie |
| 3349 | | The Heroes Of Valhalla | Pop punk |
| 3350 | | The Hesitations | Soul |
