Factual error: On the map behind the colonel during the first scene, Iceland is labelled as being under Nazi control. This is incorrect, as the British were in control of the country during the whole of the war. (00:05:10)
Revealing mistake: When the target's iPhone rings and Christopher Chance answers it, he swipes his finger across the bottom of the screen, which is the regular gesture to answer a call on the iPhone. Trouble is that we see the screen at the time, and it's not showing an incoming call, just some sort of list - he swipes his finger over nothing of any significance at all.