- Sudden Fear (1952)
- Cat-Women of the Moon (1953)
- Robot Monster (1953)
- The Man with the Golden Arm (1955) (Academy Award nomination, Best Original Score)
- Gunsmoke (1955) TV series (one episode only, S18: "Hostages!")
- The Ten Commandments (1956)
- Men in War (1957)
- Fear Strikes Out (1957)
- Sweet Smell of Success (1957)
- The Tin Star (1957)
- Desire Under the Elms (1958)
- Kings Go Forth (1958)
- God's Little Acre (1958)
- The Buccaneer (1958)
- Some Came Running (1958)
- The Miracle (1959)
- Johnny Staccato (1959) (TV)
- Riverboat (TV series) (1959) (TV)
- The Magnificent Seven (1960) (Academy Award nomination, Best Original Score)
- The Rat Race (1960)
- The Story on Page One (1960)
- From the Terrace (1960)
- The Comancheros (1961)
- By Love Possessed (1961)
- The Young Doctors (1961)
- Summer and Smoke (1961) (Academy Award nomination, Best Original Score)
- To Kill a Mockingbird (1962) (Academy Award nomination, Best Original Score; Golden Globe winner)
- Walk on the Wild Side (1962) (Academy Award nomination, Best Song – "Walk on the Wild Side")
- A Girl Named Tamiko (1962)
- Birdman of Alcatraz (1962)
- Kings of the Sun (1963)
- The Caretakers (1963)
- The Making of the President, 1960 (1963) (Emmy Award winner)
- The Great Escape (1963)
- Love with the Proper Stranger (1963)
- Hud (1963)
- The Carpetbaggers (1964)
- The World of Henry Orient (1964)
- The Sons of Katie Elder (1965)
- The Hallelujah Trail (1965)
- Baby the Rain Must Fall (1965)
- Return of the Seven (1966) (Academy Award nomination, Best Original Score)
- National Geographic Specials – "Voyage of the Brigantine Yankee" (1966) TV series
- Hawaii (1966)
- The Silencers (1966)
- National Geographic Specials – "Yankee Sails Across Europe" (1967) TV series
- Thoroughly Modern Millie (1967) (Academy Award winner, Best Original Score)
- The Scalphunters (1968)
- I Love You, Alice B. Toklas (1968)
- Powers of Ten (1968) (short documentary, rereleased in 1977)
- The Gypsy Moths (1969)
- The Bridge at Remagen (1969)
- Guns of the Magnificent Seven (1969)
- True Grit (1969) (Academy Award nomination, Best Song – "True Grit")
- The Liberation of L.B. Jones (1970)
- Cannon for Cordoba (1970)
- A Walk in the Spring Rain (1970)
- Big Jake (1971)
- Doctors' Wives (1971)
- See No Evil (1971)
- The Rookies (1972) (TV)
- The Amazing Mr. Blunden (1972)
- The Magnificent Seven Ride! (1972)
- Cahill U.S. Marshal (1973)
- Gold (1974) (Academy Award nomination, Best Song – "Wherever Love Takes Me")
- McQ (1974)
- Deadly Honeymoon (1974)
- The Trial of Billy Jack (1974)
- Ellery Queen (1975) TV series
- Mr Quilp (1975)
- Report to the Commissioner (1975)
- Once an Eagle (1976) TV miniseries (theme)
- Captains and the Kings (1976) TV miniseries (Emmy nomination)
- From Noon Till Three (1976)
- The Incredible Sarah (1976)
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- The Shootist (1976)
- Slap Shot (1977) (music supervisor only)
- Casey's Shadow (rejected) (1978)
- National Lampoon's Animal House (1978)
- Billy Jack Goes to Washington (1978)
- Bloodbrothers (1978)
- Zulu Dawn (1979)
- The Great Santini (1979)
- Meatballs (1979)
- Airplane! (1980)
- Trust Me (1980)
- The Blues Brothers (1980)
- Saturn 3 (1980)
- Guyana Tragedy: The Story of Jim Jones (1980)
- Heavy Metal (1981)
- Honky Tonk Freeway (1981)
- Going Ape (1981)
- The Chosen (1981)
- An American Werewolf in London (1981)
- Stripes (1981)
- Genocide (1982)
- Five Days One Summer (1982)
- Airplane II: The Sequel (Themes) (1982)
- Michael Jackson's Thriller (1983) (music video)
- Class (1983)
- Trading Places (1983) (Academy Award nomination, Best Original Score)
- Spacehunter: Adventures in the Forbidden Zone (1983)
- Prince Jack (1984)
- Marie Ward - Zwischen Galgen und Glorie (1984)
- Bolero (1984)
- Ghostbusters (1984)
- The Black Cauldron (1985)
- The Journey of Natty Gann (rejected) (1985)
- Spies Like Us (1985)
- ¡Three Amigos! (1986)
- Legal Eagles (1986)
- Leonard Part 6 (1987)
- Amazing Grace and Chuck (1987)
- Funny Farm (1988)
- The Good Mother (1988)
- Da (1988)
- Stars and Bars (rejected) (1988)
- A Night in the Life of Jimmy Reardon (rejected) (1988)
- My Left Foot (1989)
- Trust Me (rejected) (1989)
- Slipstream (1989)
- Murder in Mississippi (rejected) (1990)
- The Field (1990)
- The Grifters (1990)
- Cape Fear (adaptation) (1991)
- Rambling Rose (1991)
- A Rage in Harlem (1991)
- Oscar (1991)
- A River Runs Through It (rejected) (1992)
- Mad Dog and Glory (1993)
- The Age of Innocence (1993) (Academy Award nomination, Best Original Score)
- Lost in Yonkers (1993)
- The Cemetery Club (1993)
- The Good Son (1993)
- I Love Trouble (rejected) (1994)
- Devil in a Blue Dress (1995)
- Search and Destroy (1995)
- Canadian Bacon (1995)
- The Scarlet Letter (rejected) (1995)
- Frankie Starlight (1995)
- Bulletproof (1996)
- Last Man Standing (rejected) (1996)
- Buddy (1997)
- The Rainmaker (1997)
- Hoodlum (1997)
- Twilight (1998)
- Bringing Out the Dead (1999)
- Wild Wild West (1999)
- The Deep End of the Ocean (1999)
- Keeping the Faith (2000)
- Gangs of New York (rejected) (2002)
- Far from Heaven (2002) (Academy Award nomination, Best Original Score; Golden Globe nomination, Best Original Score)
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