Recognized by the Academy with 1 Oscar nomination in 1938, but not a win:
Best Music, Original Song: George Gershwin (music), Ira Gershwin (lyrics), for the song "They Can't Take That Away from Me"
The music didn't win any Oscars, and yet the songs in this movie are still known today; the film features great dance numbers with two very dedicated dancers. Ever wonder how long it takes to get a dance routine on camera, not counting the rehearsals? Here's some trivia from IMDb about the roller skating dance: The scene where Fred Astaire and Ginger Rogers dance on roller skates took about 150 takes, according to one of the VHS versions of the film.