Factual error: In the hut with BJ, Zale, and The Moose, there's a Coleman 413E stove in the background. Trouble is, that this unit didn't appear until 1954, and the Armistice ending hostilities, ending the war, was signed July 27, 1953.
Factual error: In the Swamp, Frank is complaining about everything, and goes to grab the still. The stove it's sitting on is a Coleman model 413E camping stove, a unit not seen until 1954, and the series takes place in 1950.
Visible crew/equipment: As Col. Whiteman leave Sentry Post 1, where Klinger is, the boom mic is reflected on his helmet.
Continuity mistake: In Henry's office, the white cloth Radar has on his ears changes positions from shot to shot.
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: When in the Swamp, and they show Hawkeye numerous times, the door to the stove is open, then closed, then open, etc.
Revealing mistake: Potter is taking the driving part of the test, with Rizzo riding along. In the long shot, as well as looking at Klinger stumbling along, you can see the Jeep occupants are stunt doubles.
Visible crew/equipment: As the camera pans around the bed in Margaret's dream, you can see the camera man and equipment reflected. Also, when the soldiers march past, the shadow of the microphone rig plays across each one as they pass the bed.
Factual error: When the camera looks at Lt. Clark, her rank insignia is horizontal. It should set from the apex (point) of the stitching diagonally (top end toward her face).
Continuity mistake: When the pit boss is taking the rolled up 5 containing the pair of dice out of his pocket, his fingers are hiding the end toward Mulcahy. When the camera angle changes, the fingers are moved so Mulcahy can see the hidden dice.
Change Day - S6-E8
Continuity mistake: From the back, while denying Charles entry, the whistle Klinger has on flips over his left shoulder. A moment later, as Hawkeye and BJ walk up, the whistle is in front.
Dear Sigmund - S5-E7
Visible crew/equipment: As Potter is panning with the binoculars, you can see the lights, camera and crew reflected in the lens.
Hot Lips and Empty Arms - S2-E14
Other mistake: While trying to sober Margaret up, you can see Trapper's clothing wet in spots where she hung on to him in previous takes.
Continuity mistake: In Henry's office, Burns tosses the stapler toward Radar, and it flips midair. When it falls Ito the file Radar has, it flies level, that is, not twisting in the air.
Continuity mistake: As Hawkeye and Trapper leave the Swamp to watch 5 O'Clock Charlie, Hawkeye is carrying a folding chair, and Trapper has the thermos and glasses. At the show, they both have folding chairs.
Continuity mistake: As Charles talks to Finch, he hangs up the clipboard, and puts the pencil in his pocket. Then as he turns Finch to walk out, he puts the pencil in his pocket again.
Character mistake: Aggie says she was there when Silly Putty hit the market in 1949. It hit stores in 1950.
Audio problem: As Radar sets the clock back to 4:30, you hear ticking. The clock is electric, and wouldn't make a noise like that.
Suggested correction: Electric clocks do not necessarily lack a ticking sound. Depending on their construction, they may or may not have it. Older clocks are actually more likely to produce some sort of audible ticking sound, because the precise motor speed regulation required to build a clock with sweep seconds is much more difficult than producing an oscillator that outputs precisely one pulse every second (even if the clock in question does not have the actual second hand, that would still be true).
I bow to your observation and stand corrected. Thank you.
Continuity mistake: As Radar turns from Henry's desk, the tote board he has under his arm disappears as he approaches the file cabinet.