Revealing mistake: After killing Victoria, Edward rips off a piece of Bella's shirt to tie around her bleeding arm. If you look at where he rips her shirt, the seam is visible where the fabric has already been cut and loosely reattached; there is a long horizontal wrinkle where it doesn't hang right from the rest of the shirt.
Continuity mistake: At various times during the movie Bella's hair is different (she is wearing a wig due to her hair being cut for her role in "The Runaways"). You can notice it from the high angle when she walks to her truck the first time she goes to see Jacob, then various times during the movie her hair seems to be darker sometimes and her hairline moves as well.
Visible crew/equipment: The bed scene with Bella and Edward: As he says, 'It's just one rule I wanna leave unbroken,' someone or something moves into shot on the right-hand side, and it's not Bella. In the next, shot you can see from where Edward is looking that she's not in that position.
Continuity mistake: In the "Be honest with me" scene, when Edward is trying to explain to Bella why she should not become like him, he states, "You'll always be my Bella". He sets his left hand on the right side of her head - in the first shot his left thumb is on top of her hair, when it cuts to a shot over Edwards left shoulder looking toward Bella his thumb is beneath her hair; cut back to the first shot and the thumb is on top of her hair again.