Although it had quite an impressive cast (Joan Crawford, Clark Gable, Franchot Tone, May Robson, Sterling Holloway, Nelson Eddy, Robert Benchley and, yes, the Three Stooges) Dancing Lady (1933) is mainly remembered as the film debut of one Fred Astaire, playing himself, a dancer on Broadway, doing a single number with Joan. Less than one month later, he would have a significant supporting role in Flying Down to Rio where he would team for the first time with Ginger Rogers.
Another first of the film is the first Adolph Hitler joke/reference in a studio film. In one sequence, Larry Fine of the Three Stooges puts together a jigsaw puzzle only to realize upon its completion that it is a portrait of Hitler at which point he gives the camera a pronounced double take. The section was edited out for later release but then put back in. I've never seen the sequence myself and a brief check on Turner Classic Movies shows it is not currently scheduled but it is available on DVD. Unfortunately the DVD info does not say whether the sequence is there. No matter, it's a movie from the early thirties. I'll buy it anyway.