Continuity mistake: In the beginning, when the political officer is crouching behind the wall, the bolt on his rifle is open, but when he leans up to fire, the bolt is magically closed. (00:16:45)
Continuity mistake: When Danilov first shows Vassili the leaflets that praise his exploits, the shot shows a leaflet coming off the printing press with four "x-ed out helmets", indicating how many German soldiers Vassili has killed. The camera follows the leaflet off the press, Danilov picks up the leaflet and hands it Vassili. The next shot shows Vassili looking at the leaflet, but now there are five x-ed out helmets. (00:20:30)
Suggested correction: The other X'd-out helmet is beneath Danilov's thumb. You'll notice that the border is wider and there is an additional text column on the left of the page beneath the helmet hidden by his thumb.
That other X under his thumb is from a 2nd printed leaflet. There's not an extra column of text or a 5th X. Plus, look how the first X lines up with the B, whereas what you think is the first X wouldn't be under the B.
Continuity mistake: Before they attempt to trap König with the raised helmet trick, we see one of them light a cigarette. It initially appears to be very large and misshapen. When the angle changes, the cigarette has shrunk to more than half its previous size and is perfectly rolled.
Continuity mistake: When Vassili and his two friends go out to trap König by shooting telephone repairmen, their rifles are covered by hessian, when they are shooting the repairman the guns are uncovered, and when Koulikov and Vassili are on the way back and jump across the gap in the buildings their rifles are covered again.
Continuity mistake: When Jude Law and Joseph Fiennes are walking through the Soviet Headquarters and talking about how the sniper never relocates, in the first scenes, Jude Law has no bandage on his wound on his head, however in the later close up shot there is a bandage, this within a few minutes. There definitely is no bandage present in the first scenes. (00:45:20)
Continuity mistake: During Danilov's escape sequence, there is a rollover of a vehicle. While the vehicle's wheels are still turning, the tyre tread is of a modern all-season radial. When you see the vehicle again, it is a tyre more fitting for the time period. (00:14:55)
Continuity mistake: When we first see the girl in the rail car her jacket is a dark green. In the close up it is grey. (00:03:30)
Continuity mistake: At the start, when we see a close up of Vassili's gun, you can see a big clear knot just by the barrel end, a few shots later the knot is a lot smaller and harder to see. (00:02:30)
Continuity mistake: When we first see the wolf at the start it has got snow all over its fur. A few shots later the snow has vanished completely. (00:01:40)