Continuity mistake: Hogan is listed as being from different places throughout the series; e.g., Ohio, Bridgeport, Connecticut, Indianapolis, etc.
Continuity mistake: Sgt. Schultz' serial number changes in every episode.
Continuity mistake: From time to time, Hogan's patch (reading COL. R. E. HOGAN) alternates from the lettering being faded, to the lettering being vibrant with the patch looking new.
Continuity mistake: Throughout the whole series, the guys access the tunnels through a trapdoor built into the bunk closest to what appears to be the east end of the barracks. What is interesting is the method used to make the trapdoor open and the bunk rise. sometimes, it's two taps, two slaps, or two pushes of a "key", a panel that's made to look like the side of the bunk.
Continuity mistake: The scar on Burkhalter's right cheek changes location, relative to the mole on that cheek, in every episode. Possibly in every take.
Continuity mistake: The breast eagle on Schultz's uniform is sewn on backwards after the first season, and his belt buckle also changes from a Luftwaffe buckle to a different one.
Continuity mistake: Throughout the whole series, there are references to the building that houses Hogan and company. Sometimes it's Building 2, sometime it's Building 3. Also, there are times that Hogan's building has a direct view of the Commandant's building, and times when there is a building between them.
Continuity mistake: In the first episode, when seen from the inside, the door to the outside opens from the left. In the rest of the series the door opens from the right.
The Informer - S1-E1
Continuity mistake: The ground is soft, dark gray dirt. From the next episode on it is hard packed yellowish clay.
The Informer - S1-E1
Continuity mistake: In this episode, the doghouse that disguises an entrance to the underground is flipped up on end, and the separate floor is flipped up in the opposite direction. In all of the following episodes, the doghouse, and the floor, are one piece.
The Informer - S1-E1
Continuity mistake: In this episode, Burkhalter holds the rank of Colonel, Carter is a Lieutenant. In subsequent episodes, Burkhalter is a General, and Carter is a Sergeant.
Continuity mistake: When in Hogan's quarters, they're planning to steal a Tiger Tank from the Germans. When Hogan rolls up the map, the holder it's on magically slides back into the wall. Any other time, he has to push it back.
Kommandant of the Year - S1-E3
Continuity mistake: The missile sitting on the trailer is thin and yellow, the missile actually seen flying is a fat, pointy, silver Atlas missile - which is an American intercontinental missile by the way, not a German tactical missile.
Kommandant of the Year - S1-E3
Continuity mistake: At least twice while the characters are under the large tarp around the rocket, there are at least three control panels visible. After the rocket fires and they show the general walking toward the people, behind him is the rocket trailer with only the tarp on it and no control panels.
German Bridge Is Falling Down - S1-E7
Continuity mistake: When we see the men lighting cigarettes, there are 25 people forming the arrow. When we are treated to an aerial view of it, there are 37 dots of light visible.
German Bridge Is Falling Down - S1-E7
Continuity mistake: During his experiments to create explosives in the tunnels, Carter has a pretty extensive set of glassware on his workbench. Necessarily he would have to replace (most of) that after each explosion - not to mention various light bulbs, furniture and other non-blast-proof stuff by the way. A lot of that glassware is specialty equipment, it would not be easy to come by even one set of in peacetime for a free civilian. In wartime, for an allied prisoner (even with the heroes' connections) it should be nigh impossible, and totally impossible to have an inexhaustible supply of the stuff. So we can either assume a giant plot hole, or treat it (as I did) as a big continuity mistake.
Suggested correction: Considering they regularly get equipment of all kind air dropped from "London", a few laboratory instruments and containers would hardly be challenge.
Firstly, considering the number of explosions, it's not "a few" but more like "QUITE a few." Secondly, if they had had the option to receive airdrops at the time, they would just as have had them airdrop the explosives instead of the glassware for carter to blow up, wouldn't they? Or are you suggesting they would have more spare laboratory equipment in store than a wholesale laboratory outfitter, "just in case"?
German Bridge Is Falling Down - S1-E7
Continuity mistake: As Klink is talking to the sentry post, his hand goes from around the microphone part to along the length of the receiver between angles.
Movies Are Your Best Escape - S1-E8
Continuity mistake: When Schultz herds the men into the barracks, Hogan and Le Beau are about three feet apart. A second later, they are only about a foot apart.
Movies Are Your Best Escape - S1-E8
Continuity mistake: Hogan takes the movie camera from Klink right side up. The next second, it's upside down. Then when Hogan goes to dunk the camera in the water, the lenses are pointing to his right. In the close up, they're facing his left.
Go Light on the Heavy Water - S1-E9
Continuity mistake: The boys are looking out the window at the mysterious truck. When the camera looks at them from behind, there's a building right in front of them.