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- Hair, Off Broadway (1967) and Broadway (1968) musical, book and lyrics by Gerome Ragni and James Rado, music by Galt MacDermot; notable song: "Aquarius."
- Hairspray, Broadway musical (2002; notable song: "You Can't Stop the Beat"
- Hairspray, New Line Cinema film starring John Travolta, Nikki Blonsky, Zac Efron, Queen Latifah.
- Half a Sixpence, West End (1963) and Broadway (1965) musical, book by Beverley Cross, music and lyrics by David Heneker; Paramount film version (1968)
- Hallelujah, Baby!, Broadway musical (1967), book by Arthur Laurents, music by Jule Styne, lyrics by Betty Comden and Adolph Green
- Hans Christian Andersen, film (1952), music and lyrics by Frank Loesser
- The Happiest Girl in the World, Broadway musical (1961) with music by Jacques Offenbach, lyrics by E.Y. Harburg, book by Fred Saidy
- The Happiest Millionaire, Walt Disney film (1967) by Richard M. Sherman and Robert B. Sherman; notable song, "Fortuosity"
- Happiness musical with music by Scott Frankel, lyrics by Michael Korie, and a book by John Weidman
- Happy Days (1919), Book by R.H. Burnside; Music by Raymond Hubbell
- Happy End, Berlin musical (1929) with libretto by Bertolt Brecht and music by Kurt Weill, produced on Broadway (1977); songs: "Bilbao Song", "Sailor's Tango"
- Harmony – The new musical, Comedian Harmonists musical with libretto by Bruce Sussman and music by Barry Manilow, produced off-Broadway (1996) by Gary Kief, sourcing producer Wilfried F. Rimensberger; songs: "Every Single Day", "Harmony", "Where You Go", "This Is Our Time!", "Stars in The Night".
- Happy Hunting, Broadway musical 1956 starring Ethel Merman, lyrics by Matt Dubey and music by Harold Karr. Notable songs "Mutual Admiration Society" and "A New-Fangled Tango"
- The Happy Time, Broadway musical (1968) with book by N. Richard Nash, music by John Kander, lyrics by Fred Ebb
- A Hard Day's Night, starring The Beatles (1964)
- The Harvey Girls, film (1946), music: Harry Warren, lyrics: Johnny Mercer.
- The Hatpin (2005) written by Peter Rutherford (Music) and James Millar. (Book & Lyrics) www.thehatpin.com
- Hazel Flagg, Broadway musical (1953) with music by Jule Styne
- Hedwig and the Angry Inch, Off Broadway musical (1998)
- Hedwig and the Angry Inch, Film of the musical (2001)
- Hello, Dolly!, Broadway musical (1964), book by Michael Stewart, music and lyrics by Jerry Herman; featured Carol Channing; notable song, "Hello, Dolly!."
- Hellzapoppin (1938), Broadway revue, music and lyrices by Sammy Fain and Charles Tobias, book by Harold "Chic" Johnson and John "Ole" Olsen; also a 1941 film.
- Help!, a film starring The Beatles (1965)
- Henry, Sweet Henry, Broadway musical (1967) with book by Nunnally Johnson and Nora Johnson, music and lyrics by Bob Merrill
- Her First Roman (1968) musical with music, book, and lyrics by Ervin Drake
- Hercules 1997 Disney film with music by Alan Menken and lyrics by David Zippel
- Here Comes The Groom 1951 film. Featured the Academy Award winning song "In the Cool, Cool, Cool of the Evening"
- Here's Love, Broadway musical (1963), music and lyrics: Meredith Willson.
- High Button Shoes (1947), Broadway musical, Lyrics by Sammy Cahn, Music by Jule Styne and Book by George Abbott and Phil Silvers. The first starring role for Phil Silvers.
- High School Musical (Disney musical)
- High School Musical 2 (Disney musical)
- High School Musical 3 (Disney musical)
- High Society, MGM film (1956) with songs by Cole Porter: "True Love",
- High Society, Broadway musical (1998) adapted from the film
- High Spirits, Broadway musical (1964) with book, lyrics, and music by Hugh Martin and Timothy Gray
- The Hobbit (1977) musical animated television special, book adapted by Romeo Muller with lyrics adapted from J.R.R. Tolkien by Jules Bass, music by Maury Laws
- The Hoboken Chicken Emergency (1988) musical by Chad Henry
- Hold Everything! (1928) Broadway musical with music by Ray Henderson, lyrics by Lew Brown and B. G. De Sylva, and a book by Sylva and John McGowan
- Holy Musical B@man(2012) Starkid productions
- Honk! 1993 musical book and lyrics by Anthony Drewe music by George Stiles
- Hooray for What! (1937) Broadway musical with music by Harold Arlen, lyrics by E. Y. Harburg, and a book by Howard Lindsay and Russel Crouse.
- The Hot Mikado, Broadway musical (1939)
- House of Flowers, Broadway musical (1954), music: Harold Arlen; lyrics: Truman Capote, Harold Arlen.
- How Now, Dow Jones, Broadway musical (1967) with book by Max Shulman, music by Elmer Bernstein, lyrics by Carolyn Leigh
- How to Eat Like a Child, One act revue by Delia Ephron, John Forster and Judith Kahan.
- How to Succeed in Business Without Really Trying, Broadway musical (1961), book by Abe Burrows, Jack Weinstock and Willie Gilbert, music and lyrics: Frank Loesser; notable songs: "I Believe in You", "Brotherhood of Man"
- Hoy No Me Puedo Levantar, Spanish musical (2004), directed and composed by Nacho Cano ex-member of Mecano
- The Adventures of Huckleberry Finn MGM/UA film (1974) by Richard M. Sherman and Robert B. Sherman
- The Human Comedy, Broadway musical (1984) with music by Galt MacDermot
- Hunchback of Notre Dame 1996 Disney film and 1999 German produced musical with music by Alan Menken and lyrics by Stephen Schwartz
- The Hunting of the Snark, West End musical (1991) music and lyrics by Mike Batt
Read more about this topic: List Of Musicals: A To L