Continuity mistake: In the scene where Ethan is in the NOC list room Krieger starts to drop him and Ethan is hanging there for a little while. Suddenly some sweat starts to drip down his glasses and he catches the drop with his hand. If you look at how close he is to the floor this move would be impossible.
Continuity mistake: When Ethan is being lowered into the room with the NOC List, he has the digital temperature gauge. As Ethan is going down, the gage is right side up so you can read it normally. However, Ethan is upside down, and therefore so are the camera glasses he is wearing. Now when we see the computer screen that Ving Rhames is using, the gauge is right side up there, but it should actually be upside down.
Continuity mistake: At the end of the movie, when Ethan and Luther are sitting at the pub, just after the cheers/here's to you speech, Luther said "Hey, I'm flavour of the month" and brings his glass up to his lips for a drink. In a split second cut to a wide shot facing Luther his glass is on the table, and there are only two glasses on the table as established in a wide shot where Ethan says, "I'd better go catch my flight."
Continuity mistake: When the "firemen" (Ethan Hunt, Claire Phelps, Luther Stickell and Franz Krieger) leave Langley, Claire is in a red coat and red dress. As we see all four drive off in a fire truck, Claire is in a fireman's costume. Firstly, when did she have the time to change and secondly, why change? (01:08:00 - 01:10:00)oobs