Visible crew/equipment: When Daryl wants to turn himself in, crew members are visible in the scene.
Factual error: The Russians use a beeping "radio direction finder" to find the partisans by detecting a bug swallowed by the Mayor's son. In closeups the "direction finder" is seen to be an impedance meter (used for measuring AC resistance) - it's labeled "X=(down arrow) x (up arrow)(omega)". X is the standard abbreviation for impedance, omega means "ohms" (the unit of impedance/resistance), so the label says "impedance is lower dial times upper dial, in ohms". There is a piece of spiral twisted wire across the terminals of the impedance meter which would be useless for radio direction finding. (01:19:15)
Factual error: When the Russian tank rolls up to the two gas pumps, the crew have a choice of regular gasoline (as indicated on the pump), or Good Gulf (a premium gasoline). And in fact one of the tankers tells the attendant, "Gasoline." The trouble is, all Soviet tanks, from the T-34 up through the T-80, have diesel engines for safety reasons. (00:46:55)
Factual error: In the opening scene of the movie, the Soviet paratroopers are seen wearing smooth, black, leather parachute helmets. But Soviet Paratroopers have always worn tan, cloth parachute helmets with ridges that resembled tanker helmets. (00:05:00)
Revealing mistake: In the beginning of the movie, when the teacher is shot, the impacts on his chest are out of sync with the actual gunfire. First, we see the soldier start shooting, but he fires several shots at point blank range before the bulletholes and blood appear on the teacher. Also, as the angle changes, the teacher falls backwards with more impacts appearing on his chest. The problem is, the soldier has already stopped shooting, and there is no other gunfire to be heard. (00:05:25)
Continuity mistake: In the beginning after the teacher is shot the Russian shoots into the classroom. During the first view you see all of the students ducking and right before they cut to the next shot there isn't a dead kid on the window but when they come back to that shot there is.
Factual error: When the Soviet airborne troops first drop into Calumet in the first few scenes of the movie they are using US Army issue parachutes - MC1-1B. (00:04:45)
Visible crew/equipment: In the scene immediately after the Cuban leader allows Swayze to leave, as he carries the dying Sheen, Swayze is walking in a park towards a park bench. Watch closely on the left at the start of the scene and you can see the shadow of the camera crew. Very visible.
Continuity mistake: When the small band of troops comes up the mountain to take pictures and read the sign, one of them snaps a photo of the view. We see a static shot of what he is looking at, trees covered in snow and fog in the valley. Later however, we see the same view. There is no snow on the trees and no fog down below.