| 3301 | | The Hamptons | Reggae |
| 3302 | | the Hand by Peter Frampton | |
| 3303 | | The Hand Me Down Kids | Rock |
| 3304 | | The Hand Of Cicciolina Lyrics by Pop Will Eat Itself | |
| 3305 | | The Hand Of God by New Order | |
| 3306 | | The Hand Of God Lyrics by New Order | |
| 3307 | | The Handsome Family | |
| 3308 | | The Handsome Poets | |
| 3309 | | The Hanks | Indie/Rock |
| 3310 | | The Happenings | Rock |
| 3311 | | The Harden Trio | Country |
| 3312 | | The Hardknocks | |
| 3313 | | The Hardtimes | 60s |
| 3314 | | The Harptones | Rnb |
| 3315 | | The Harters | |
| 3316 | | The Harvest Quinn Band | |
| 3317 | | The Harvey Boys | |
| 3318 | | The Haunted | Metal |
| 3319 | | The Havoc | |
| 3320 | | The Hawks & The Found | |
| 3321 | | The Haystacks | |
| 3322 | | The Hazzards | Indie/Pop |
| 3323 | | The Head and the Heart | |
| 3324 | | The Head Cat | Acoustic/Rock |
| 3325 | | The Headboys | 80s |
