In Poland the movie edited in a brief introduction by Polish actor Kazimierz Rudzki who assure the audience that the movie was done with best intentions by their "American friends", as the time it screened in Poland many people still lived in trauma from the World War II events and some could find a comedy about the German invasion of Poland in poor taste, offensive or hard to swallow.
In the German version there are two changes made to the original score: first, with the Germans marching into Warsaw we hear the fanfares of the Deutsche Wochenschau (i.e. the German News Reel) instead of "normal" music. Then, during the opera scene we hear the Nazis singing all three verses of "Deutschland, Deutschland über alles" in the background. However, in the Third Reich it was common (and was thus later inserted into the German sound track) only to play the verse one, directly leading into the "Horst Wessel Lied", which was something like the official party anthem.