Which EGOT winning American composer composed Sunshine, Lollipops and Rainbows?
Sunshine, Lollipops and Rainbows:  The song, composed by Marvin Hamlisch, was released as a single in conjunction with Gore's rendition in the 1965 film, "Ski Party". Marvin Hamlisch:  This collection of all four is referred to as an "EGOT".
Marvin Hamlisch