Continuity mistake: When Roux and the little girl from his boat first enter the bar the little girl's hair is down. Then, after the bartender says "I don't serve animals" and it shoots back to the little girl, her bangs are pulled back. Then, when Vianne invites them into the shop, her hair is down again.
Continuity mistake: In the scene where Reynaud destroys the chocolate shop's window display, he gets some chocolate on his lower lip. In the wide shot, the chocolate is high up on his lip, but when it changes to a closeup of his mouth there is a large drop square in the middle of the lip.
Continuity mistake: At the end when Vianne, Roux, and Anouk are having hot chocolate in the chocolaterie Roux picks up a cup and starts drinking. In the next shot when Anouk is standing at the door and the camera is looking into the shop you can see in the background Vianne handing Roux another cup of hot chocolate. She wouldn't need to do that because he had already started drinking in the previous shot.