Revealing mistake: When they (Finch and Frank) are on the boat to Ecuador, in the first shot you can see on the waves that the boat had sailed in what seems like a circle. (01:16:30)
Continuity mistake: Eric Bana is listening to the police radio frequencies at the beginning of the movie. He does it in close-up with his left hand on the money, by his right arm, but in the next shot his position is different, since his hand is holding the right forearm. (00:00:50)