Continuity mistake: When Woody has the landing gear lowered on the burning airliner, only the right main gear comes down. When Pappy warns him that the other gear isn't down, he pulls up and goes around. As the camera pans over the plane, it shows the left gear down, and the right up. Then when Woody retracts the gear, once again the right one is down.
Factual error: This relates to the first movie with this title, the one with Jack Benny in it. About midway in the film there is a scene with Polish pilots in the RAF in a room. It cuts to a brief shot of airplanes flying which obviously purports to show the Polish pilots flying their airplanes. But, the airplanes shown are circa 1935 U. S. Army Air Corps Consolidated two place fighters, never used by the RAF and in fact totally obsolete and never used by any air force during WWII.
Continuity mistake: The closeup of the Soda City calendar shows a much heavier coating of spider webs than the previous shot.