Revealing mistake: When Bella and Edward return from Italy, Edward 'disappears' when Charlie enters the room. You can see behind the door when he is in the room that there is nowhere/not enough space for Edward to hide, but when Charlie leaves the room, as the door shuts, Edward steps out from behind it.
Other mistake: In Volterra when Edward has his shirt off, his face and neck are a different color than the rest of his skin.
Continuity mistake: After Jessica and Bella leave the movie theater and see the bikers, the parked car and fire hydrant are in different positions.
Continuity mistake: In the birthday party scene, as Edward sends Jasper flying with a shove, it first shows Edward pushing Jasper in a downward arc, the next cut shows Jasper flying up through the air as he hits the piano. (00:14:20)
Continuity mistake: In the last scene when Jacob confronts Edward and Bella. Edward's hair is it's usual poofed up, uncombed look but after Bella separates Jacob and Edward and Jacob runs off, when the camera is back on Edward, his hair is flat and neatly combed, then within a few seconds it's back to its uncombed look.
Deliberate mistake: In the scene where we see Bella in her room looking out the window, the months are passing, but she is always wearing the same clothes. (00:28:30)
Other mistake: Bella just got back from the meadow with Laurent. She is describing what she saw to her Father and Harry. Notice that every time she talks there is a grey/black line across her chest. It is obviously not a necklace or her hair. But then her Father says "Wolves, You saw them?" Now, everytime the camera pans onto her, the grey/black line is gone.
Suggested correction: It is absolutely obviously her hair.
Continuity mistake: After the ill-fated birthday party, Edward drops Bella home in her car. After the kiss, in one shot Edward's face is very close to hers, forehead resting on hers. When it cuts, his face is far away from hers. (00:18:55)
Revealing mistake: When Victoria dives off a cliff to escape the wolves chasing her, her hair doesn't move at all, as if she's standing still.
Continuity mistake: After the scene where Jacob rescues Bella from the ocean, when they're driving home it's not dark outside as they're pulling up into Charlie's driveway. But once Jacob starts talking about Sam and Emily, it's darker outside. Even after they get to the door. (01:23:30 - 01:26:55)
Revealing mistake: You can see the wires on the motorbike when Jake lifts it from the truck.
Revealing mistake: As pointed out by the director, you can tell that Bella's eyes are "CGI'd brown" in the Bella/Jacob breakup scene in the rain. There is no "shine" in her eyes as would be natural, and the colour looks wrong.
Continuity mistake: The Swann residence has changed from the first film. Although the house looks exactly the same, the street and landscaping are completely different. An identical replica of the house was built in a different location for the second and third film.