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.
Continuity mistake: When Juliette Binoche is packing her bags to leave the town and has her red cloak on, a large tendril of hair keeps changing position across and behind and in front of her right ear.
