- Habanera Carmen Suite No 2 – Bizet
- Half A Person – The Smiths
- Hallelujah – Leonard Cohen (Rufus Wainwright)
- Hand In My Pocket – Alanis Morissette
- Handle With Care – The Traveling Wilburys
- Hang Down Your Head – Tom Waits
- Happiness Is A Warm Gun – The Beatles
- Happy – Bruce Springsteen
- Happy – The Rolling Stones
- Happy XMAS (War is Over) – John Lennon
- Happy Unhappy – The Beths
- Hard Times – Bob Dylan
- Hard To Say I’m Sorry – Chicago
- Hay Poder – Generación 12
- Heading For The Light – Traveling Wilburys
- Healing Rain – Michael W. Smith
- Heard It In A Love Song – Marshall Tucker Band
- Heart Attack and Vine – Tom Waits
- Heart of Gold – Neil Young
- Heart of the Matter – Don Henley
- Heartbeat – Buddy Holly
- Heather – Holy Rees
- Heaven Knows I’m Miserable Now – The Smiths
- Hell Broke Loose – Tom Waits
- Hello – Lionel Richie
- Helpless – Neil Young
- Helpless Heart – Maura O’Connell
- Here Comes A Regular – The Replacements
- Herman’s Habit – La La Land
- Hero – Mariah Carey
- Heroes – David Bowie
- Hey Hey, My My (Into the Black) – Neil Young
- Hey Louise – Neil Diamond
- Hey, That’s No Way To Say Goodbye – Leonard Cohen
- High – James Blunt
- History (I Was Born Blind) – Geoffrey Gurrumul Yunupingu
- Holberg Suite For Strings Prelude (Alegro Vivace) – Grieg
- Hold My Hand (From “Top Gun_ Maverick”) – Lady Gaga
- Hold On – Tom Waits
- Home Improvements – My Friend The Chocolate Cake (David Bridie)
- Hope I Don’t Fall in love With You – Tom Waits
- Hotel Radio – David Bridie
- How Soon Is Now – The Smiths
- Huck’s Tune – Bob Dylan
- Human (2013) – Christina Perri
- Human Touch (1992) – Bruce Springsteen
- Hungarian Fantasy (1853) – Franz Liszt
- Hurt (2002) – Johnny Cash