Count Your Blessings (Instead of Sheep) (1952): words & music by Irving Berlin; from the musical film White Christmas; song nominated for an oscar. It was the most popular song in 1954.
Jeepers Creepers (1945): words by Johnny Mercer; music by Harry Warren; used in the musical film Going Places, sung by Louis Armstrong to a racehorse named Jeepers Creepers. It was also quoted in the film Yankee Doodle Dandy, biopic of George M. Cohan.
Ac-cent-tchu-ate the Positive (1944): words by Johnny Mercer; music by Harold Arlen; from the film Here Come the Waves; song nominated for an oscar.
Star Dust (1929): words by Mitchell Parish; music by Hoagy Carmichael; used in the musical film The Eddy Duchin Story; tune occurred to Carmichael while walking around at Indiana University.
Bibbidi-Bobbodi-Boo (1949): words & music by Mack David, Al Hoffman, and Jerry Livingston; from the Disney animated film Cinderella.
When You Wish Upon a Star (1940): words by Ned Washington; music by Leigh Harline; from the Disney animated film Pinocchio; won an oscar.
Chim-Chim-Cher-ee (1964): words & music by Richard M. Sherman and Robert B. Sherman; from the Disney musical film Mary Poppins; song won an oscar.
(Just) Whistle While You Work (1937): words by Larry Morey; music by Frank Churchill; from the Disney animated film Snow White and the Seven Dwarfs.
Zip-A-Dee-Doo-Dah (1947): words by Ray Gilbert; music by Allie Wrubel; from the Disney animated film Song of the South; won an oscar.
I'm Old Fashioned (1942): words by Johnny Mercer; music by Jerome Kern; from the musical film You Were Never Lovelier.
The Nearness of You (1940): words by Ned Washington; music by Hoagy Carmichael
One for My Baby (and One for the Road) (1943): words by Johnny Mercer; music by Harold Arlen; from the musical film The Sky's the Limit; used in the film Macao.
Easter Parade (1935): words and music by Irving Berlin; a rewritten version of a 1917 Berlin song entitled "Smile and Show Your Dimple"; this version introduced by Clifton Webb and Marilyn Miller in the 1935 revue As Thousands Cheer; later used in the films Alexander's Ragtime Band (1938; sung by Don Ameche), Holiday Inn (1942; sung by Bing Crosby), and Easter Parade (1948; sung by Fred Astaire and Judy Garland)
If I Only Had a Brain (1939); words by E. Y. Harburg; music by Harold Arlen; from the film The Wizard of Oz
Lullaby of Broadway (1935); words by Al Dubin; music by Harry Warren; from the film The Gold Diggers of 1935; later used in the 1980 musical show 42nd Street
The Way You Look Tonight (1936); words by Dorothy Fields; music by Jerome Kern; from the film Swing Time, which featured Fred Astaire and Ginger Rogers
The Yankee Doodle Boy (1904); words and music by George M. Cohan, from the musical show Little Johnny Jones (1904); used in the films Little Johnny Jones (1929), Yankee Doodle Dandy (1942), and The Seven Little Foys (1955)
Note: Some of the above information from The Great Song Thesaurus, 2nd Ed., by Roger Lax and Frederick Smith, Oxford University Press: New York, 1989.