- Growin' Up (Demo) by Bruce Springsteen
- Hard Times in New York Town (Demo) by Bob Dylan
- Hard Times (No One Knows Better Than I) (Alternate Take 2) by Aretha Franklin
- Harry Simms by Pete Seeger
- Having Myself a Time by Billie Holiday prod. by Bernie Hanighen
- Having Myself a Time [Take 2] by Billie Holiday prod. by Bernie Hanighen
- Heartattack and Vine
- Hello, My Darling by Billie Holiday prod. by Bernie Hanighen
- Hello, My Darling [Take 2] by Billie Holiday prod. by Bernie Hanighen
- Here It Is Tomorrow Again by Billie Holiday prod. by Bernie Hanighen
- Here's That Rainy Day by Denny Zeitlin
- Highway 51 Blues by Bob Dylan
- Homecoming by Don Ellis
- Home Inside of Me by Wes King prod. by Gary Chapman & Jerry McPherson
- Honey, Just Allow Me One More Chance by Bob Dylan prod. by Tom Wilson
- House of the Rising Sun by Bob Dylan
- House of the Risin' Sun by Bob Dylan
- How Can I Keep from Singing by Pete Seeger
- I Can't Believe My Eyes by The Gaither Vocal Band prod. by Cheryl Rogers