Gomer and the Queen of Burlesque - S4-E21
Continuity mistake: Gomer is on a date - they come out of the movie theater and it's dark. Back at the base after his date Gomer runs into Sgt. Hacker, and it's daylight and the sun is shining. After their brief conversation Gomer tells Sgt. Hacker good night. (00:07:00 - 00:08:00)
Factual error: In the initial opening credits, there's a statement that the flying battle scenes were flown by the Air Force. At the time of the events depicted there was only the Army Air Corps. 1947 was the beginning of the Air Force.