Continuity mistake: When Michael Caine kills the assassin, he goes to check the body and two blood spots are visible to the right of the door handle on the white car. In the shot when Michael is back in the car and driving off, the blood spots are nowhere to be seen. (00:11:56 - 00:14:22)
Character mistake: When Michael Caine has to leave in a hurry, he has to leave his belongings behind - two suitcases. When the police arrive, the lead cop tells the lower cop to "take everything", but he doesn't; he only takes 1 suitcase, not 2.
Continuity mistake: In the beginning, The Statement is being typed on a manual typewriter and the name Pierre Brossard is underlined except for the letter P. The next time we see The Statement, the letter P is now underlined. There is only one copy.