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Had a Dream about You, Baby (appeared on Down in the Groove (1988))

Handy Dandy (appeared on Under the Red Sky (1990))

A Hard Rain's A-Gonna Fall

• Version #1 (appeared on The Freewheelin' Bob Dylan (1963) and Bob Dylan's Greatest Hits, Vol. II (1971))
• Version #2 (appeared on The Bootleg Series Vol. 5: Bob Dylan Live 1975, The Rolling Thunder Revue (2002))
• Version #3 (appeared on The Bootleg Series Vol. 6: Bob Dylan Live 1964, Concert at Philharmonic Hall (2004))

Hard Times (appeared on Good As I Been to You (1992))

Hard Times in New York Town (appeared on The Bootleg Series Volumes 1-3 (Rare & Unreleased) 1961-1991 (1991))

Hazel (appeared on Planet Waves (1974))

He Was a Friend of Mine (appeared on The Bootleg Series Volumes 1-3 (Rare & Unreleased) 1961-1991 (1991))

Heart of Mine

• Version #1 (appeared on Shot of Love (1981))
• Version #2 (appeared on Biograph (1985))

High Water (For Charley Patton) (appeared on Love and Theft (2001))

Highlands (appeared on Time Out of Mind (1997))

Highway 51 (appeared on Bob Dylan (1962))

Highway 61 Revisited

• Version #1 (appeared on Highway 61 Revisited (1965))
• Version #2 (appeared on Before the Flood (1974))
• Version #3 (appeared on Real Live (1984))

Honest with Me (appeared on Love and Theft (2001))

Honey, Just Allow Me One More Chance (appeared on The Freewheelin' Bob Dylan (1963))

House Carpenter (appeared on The Bootleg Series Volumes 1-3 (Rare & Unreleased) 1961-1991 (1991))

House of the Rising Sun (appeared on Bob Dylan (1962))

Hurricane

• Version #1 (appeared on Desire (1976), Bob Dylan's Greatest Hits Volume 3 (1994), The Essential Bob Dylan (2000), and The Best of Bob Dylan (2005))
• Version #2 (appeared on The Bootleg Series Vol. 5: Bob Dylan Live 1975, The Rolling Thunder Revue (2002))