| Pop Song | Live | Recd | Maps and Legends |
| Ha (We Got Paid For It): | 1981 | Also known as Us and You | |
| Had Me A Real Good Time: (Faces) | 2000 | Live 2000: Peter Buck / The Minus 5 | |
| Hail Grant: | 1996 | Known as How the West Was Won and Where it Got Us | |
| Hairshirt: | 1988 | 1988 | Live 1988: Michael Stipe / Indigo Girls |
| Half a World Away: | 1991 | 1991 | Also live 1991: Bingo Hand Job |
| Halo: (Steve Wynn) | 1992 | Recd 1992: Peter Buck / Steve Wynn | |
| Hang On Sloopy: (McCoys) | 1984 | Live 1984: Hindu Love Gods Also Live 1985: R.E.M. | |
| Hanging Out The Banners: (Nikki Sudden) | 1990 | Live 1990: Peter Buck / Nikki Sudden | |
| Happiness: (Eytan Mirsky) | 1998 | Recd 1988: Michael Stipe / Rain Phoenix for the film "Happiness" by Todd Solondz | |
| Happy Carpenter Song, The: | 1985 | 1985 | Known as Green Grow the Rushes |
| Happy Birthday: (Traditional) | 1983 | ||
| Happy Together: (Bonner / Gorden) | 1984 | ||
| Harborcoat: | 1983 | 1983 | |
| Hard Times In Old England: (Steeleye Span) | 1999 | Live 1999: Peter Buck / The Minstrel in the Galleries | |
| Hills Of Greenmore, The: (Steeleye Span) | 1999 | Live 1999: Peter Buck / The Minstrel in the Galleries | |
| Harpers: (M. Goese / Michael Stipe) | 1986 | 1986 | Also live 1987: Mystery T. Also live 1988: Stipe / Indigo Girls Recd 1986: Stipe / Hugo Largo |
| Hastings And Main: (Buck/Mills/Stipe/McCaughey/Stringfellow/Waronker | 2000 | ||
| Hate Me More: (Peter Buck / Scott McCaughey) | 1996 | 1994 | Live 1996: Buck / The Minus 5 Recd 1994: Buck / McCaughey Also recd 1997: Buck / M. 5 |
| Have You Ever Seen The Rain ?: (John C. Fogerty) | 1985 | ||
| Heard The Laughter Ending: (Kevn Kinney) | 1990 | Live 1990: Peter Buck / Kevn Kinney | |
| Heart Of Saturday Night, The: (Tom Waits) | 2001 | Live 2001: Peter Buck / The Minus 5 | |
| Heartache For Sale: (Scott McCaughey) | 1994 | Recd 1994: Peter Buck / The Minus 5 | |
| Heartache, The: ( Warren Zevon) | 1987 | Recd 1987: Bill Berry / Peter Buck / Warren Zevon | |
| Heartbreak Beat: (Butler / Ashton / Butler) | 1987 | Snippet during Midnight Blue | |
| Heaven: (Robyn Hitchcock) | 1988 | Live 1988: Peter Buck / Robyn Hitchcock & the Egyptians | |
| Heavenly, Heavenly: (Grant Lee Phillips) | 2000 | Live 2000: Peter Buck / Grant Lee Phillips / Jon Brion | |
| Heavy Metal Drummer: (Wilco) | 2001 | Live 2001: Peter Buck / The Minus 5 | |
| Helium: (Peter Buck / Mark Eitzel) | 1997 | 1996 | Live 1997: Peter Buck / Mark Eitzel Recd 1996: Peter Buck / Mark Eitzel |
| Hello Dead Horse: (John Wesley Harding) | 2000 | Live 2000: Peter Buck / The Minus 5 | |
| Hello In There: (John Prine) | 1990 | Also live 1991: Bingo Hand Job | |
| Hello Stranger: (The Carter Family) | 1987 | Live 1987: The Mystery Twins | |
| Helter Skelter: (John Lennon / Paul McCartney) | 1994 | Live 1994: Mike Mills / Backbeat Band | |
| Here I Am Again: | Demo recorded in 1990 during OOT sessions Known as Organ Song Aka Kerouac No.4 | ||
| Here Comes The Sun: (George Harrison) | 2001 | Live 2001: Mike Mills / The Croakers | |
| He's Wearing My Bathrobe (End Title): (Don Was) | 1993 | Recd 1993: Mike Mills / Backbeat Band (ost) | |
| Hey, Diddle Diddle: (Traditional) | 1984 | As prelude to Windout Also known as Farm Rap | |
| Hey! Hey! Nadine: | 1981 | Also known as Pretty Girl, She's Such a Pretty Girl & Small Town Girl | |
| Hey Landlord (Meatloaf and Fishsticks): (Kinney / D. Giordano / R. Blazak) | 1989 | 1990 | Live 1989: Peter Buck / Drivin' 'n' Cryin' Recd 1990: Peter Buck / Kevn Kinney |
| Hey Little Girl: (Syndicate of Sound) | 1981 | Also known as Little Girl | |
| Hey Son, Where Are You Going? (Kevn Kinney) | 1993 | Live 1993: Peter Buck / Kevn Kinney | |
| High On Drugs: (Keith Streng / Pete Zaremba) | 1987 | Recd 1987: Peter Buck / Full Time Men | |
| High on Rebellion: (Patti Smith) | 1986 | ||
| Hillbilly Drummer Girl: (Scott McCaughey) | 2001 | Live 2001: Peter Buck / The Minus Tad | |
| Hippy Hippy Shake: (Swinging Blue Jeans) | 1980 | Also live 1984: Hindu Love Gods w/ Bryan Cook on vocals | |
| Hold Me: (Peter Buck / Mark Eitzel) | 1997 | Live 1997: Peter Buck / Mark Eitzel | |
| Holiday In Cambodia: (Dead Kennedys) | 1989 | ||
| Home On The Range: (John Lomax / David W.Guion) | 1985 | Medley with Oh Suzanna | |
| Homeless Free Zone: (Kevn Kinney) | 1989 | Live 1989: Peter Buck / Drivin' 'n' Cryin' | |
| Honeysuckle Blue: (Kevn Kinney) | 1989 | Live 1989: Peter Buck / Drivin' 'n' Cryin' Also live 1990: Peter Buck / Kevn Kinney | |
| Honky Tonk Women: (Mick Jagger / Keith Richards) | 1980 | Also live 1990: Peter Buck / The Normaltown Flyers | |
| Hootenanny: (P. Westerberg / B. Stinton / T. Stinton / C. Mars) | 1983 | ||
| Hope: (Leonard Cohen / Peter Buck / Mike Mills / Michael Stipe) | 1999 | 1998 | Also known as Boomerang |
| Horse With No Name, A: (Dewey Bunnell) | 1995 | A cappella to It's the End of the World as We Know It (and I Feel Fine) | |
| Hot As Dick: | 1981 | 1983 | Known as Laughing |
| Hot Day: (Hugo Largo) | 1989 | ||
| Hot Nights In Georgia: (Jason Ringenberg / Jeff Johnson) | 1983 | Recd 1983: Michael Stipe / Jason & the Scorchers | |
| Hot Stuff: (L. Page / D. Boone) | 1992 | Recd 1992: Bill Berry / Peter Buck / Mike Mills / The Troggs | |
| Hotel Blues: (Nikki Sudden) | 1991 | Recd 1991: Bill Berry / Peter Buck / Mike Mills / Nikki Sudden | |
| House Above Tina's Grocery, The: (Kevn Kinney) | 1989 | 1990 | Live 1989: Peter Buck / Drivin' 'n' Cryin' Recd 1990: Peter Buck / Kevn Kinney |
| House For Sale: (Kinney / Fowler / Nielsen / Sullivan) | 1989 | Live 1989: Peter Buck / Drivin' 'n' Cryin' | |
| House Of Four Doors (Theme): (Scott McCaughey) | 1994 | Recd 1994: Peter Buck / The Minus 5 | |
| How Many Bones: (Scott McCaughey) | 1995 | Live 1995: Peter Buck / The Minus 5 | |
| How The West Was Won And Where It Got Us: | 1998 | 1996 | Also known as Hail Grant |
| Hungry For Love: (Pirates) | 2001 | Live 2001: Mike Mills / The Croakers | |
| Hyena: | 1984 | 1986 | |
| Hymn Of Doubt: (Rick Fowler) | 2000 | Recd 2000: Bill Berry / Rick Fowler & Friends |