There are plenty of those examples where a musical is brought to the screen and wins the adaptation score Oscar (Annie Get Your Gun, Call Me Madam, Oklahoma!, The King and I, Porgy and Bess, West Side Story, The Music Man, My Fair Lady, Camelot, Oliver!, Hello, Dolly!) but since the songs were written for the stage, they aren't eligible.Originally Posted by Ensign Eddie /t/325198/a-sneak-peek-at-lost-horizon-and-the-blue-lagoon/30#post_4003625
Although it's not quite the same, John Williams won his first Oscar for adapting the score for "Fiddler on the Roof", while none of the songs were nominated. Of course, I don't think there were any original songs that were actually eligible.
BTW, how did this thread turn into one about "Xanadu" and Julie Andrews?
A better example would be 1940's Tin Pan Alley which won Best Score for Alfred Newman but the one new song in it wasn't nominated.