Continuity mistake: In the shot where Hawkeye presents the Spam lamb to Henry, he sets it down, and Henry asks him what it is. Behind Henry, you can see Hawkeye's shadow - and see his lips mouth the word "A Spam lamb". The camera then changes to a close-up of Hawkeye, saying "A Spam lamb".
Aid Station - S3-E19
Other mistake: After Hawkeye gets back from Aid Station, Trapper is making a cup of tea. When he tries to hang the tea bag on a nail on the tent post, it unwinds and falls to the floor.
Suggested correction: This isn't a mistake, especially since we don't see it hanging back up in another continuous shot.
Revealing mistake: As the first chopper lands on the pad, you can see that the pilot is Cowboy, a clear reuse of the shot from the episode "Cowboy"
The General Flipped at Dawn - S3-E1
Continuity mistake: As the chopper lands on the pad, and the ambulance comes up, the pilot is as two different men when Hawkeye and Trapper approach and arrive at the chopper, meaning the landing was stock footage.
Visible crew/equipment: As Col. Whiteman leave Sentry Post 1, where Klinger is, the boom mic is reflected on his helmet.
Continuity mistake: In the Swamp, Pak pulls out a stack of money, holding it by the end. In the closeup, he is holding it by the middle.
Continuity mistake: On The Bus, as Hawkeye raises Mrs. Kwang's legs for delivery, Radar is turning around, hiding his face. In the close up, Radar turns around again.
Adam's Ribs - S3-E11
Continuity mistake: When Hawkeye throws his food in the mess tent, it lands on the tent screens behind Radar and Klinger. The food is there in the close up shots and in the wide shots it disappears.
Factual error: In the beginning, Hawkeye says that the patient was full of shrapnel from a claymore. M*A*S*H was set in the early 50's, and the M18 Claymore was only in the development stages in 1952, and not accepted and battle used until Vietnam in 1961.
White Gold - S3-E23
Continuity mistake: As the men are sneaking by the tents, Hawkeye's voice is heard coming from a tent with opaque windows. A minute later in all the commotion, he's seen coming out of the Swamp.
Audio problem: As Trapper opens the door to the swamp and the football flies in, a splash is heard as if it hit a tub of water, followed by the sound of a high, fluted vessel filling with water. Neither of those sounds make sense in this case. (00:07:00)
Revealing mistake: As Hawkeye calls for quiet in the officers' club, Henry pulls the tonearm off the record player, it comes away trailing a long wire behind it. Why would it even have a long wire to trail? After all, wire costs money too. It's not like the tonearm is designed to come off and be used remotely. My guess is: they lengthened it, so the shot could be taken several times without repairing the record player every time. Now, WHY they would do it that way and not simply use a dud record player is beyond me. (00:20:55)
Mad Dogs and Servicemen - S3-E13
Factual error: While Radar's lying in bed, Margaret reads a letter to him which was written by Wanda McCandless, and in the letter Wanda mentions that her favorite songs are "Pretty Thing..." by Bo Diddley, and "Oh, The Wayward Wind..." by Gogi Grant, but the problem is these songs were written and recorded in 1955 and 1956, years after the Korean War was already over in 1953.
Visible crew/equipment: While Trapper and Hawkeye are already in Henry's office Radar and Henry walk in, and just as Henry says, "Everything in this country disappears except me," the shadow of the boom mic can be seen moving across the wall at the top right side of the screen.
Adam's Ribs - S3-E11
Continuity mistake: While Hawkeye leads the protest in the mess tent shouting "we want something else," there are two closeup shots of the table where Klinger and Radar are seated, and Klinger's white evening purse is missing, but in the previous and following wideshots the purse is hanging on his arm.
Adam's Ribs - S3-E11
Continuity mistake: When Hawkeye's in the mess tent holding the food tray the succotash is on the left and potatoes on the right with a space in the middle, so when Igor serves him creamed corn offscreen the corn should be between the potatoes and succotash, but when Hawkeye's having the fit and walks away from Igor, the potatoes (a higher mound) are now in the center space between corn and succotash.
Visible crew/equipment: As Hawkeye and Trapper sit down to talk with McShane, the shadow of the tip of the boom mic can be seen on the door on the right side of the shot. (00:08:25)
Visible crew/equipment: At the chopper pad, as the scene plays out, reflections of the lighting rigs can be on the chopper canopy.