Casino Royale (2006)

Deliberate mistake: On the roof of the sunken building, Bond tries CPR on Vesper, then quits when he realizes that she is dead and sits away from her body. Watch her right leg carefully when he returns to her body and cradles her in his arms - she flexes it upwards at the knee. Yes, I know that electrical impulses in a dead body can cause muscle movements, but this was obviously the actress involuntarily bracing herself from slipping on the slanted surface. Cut to Mr. White walking away with the money and when the camera returns to the roof, Vesper's leg is lying flat again. (02:18:00)

Deliberate mistake: When Bond performs CPR on Vesper, he isn't really blowing into her mouth. You'd be able to see her chest lift when he blows air into her lungs - even if she was dead.