Other mistake: As in the first movie, Bob can't speak as his mouth is sewn shut, and because of this he barely makes any audible sound. So how is the lower body of Chares Deitz able to speak? And, like the magician's assistant who died when she was cut in half, shouldn't the other half of him be in the afterlife with him?
Suggested correction: This is a question, not a mistaken entry. I suspect that in this afterlife the ability to speak is considered important if you don't own a mouth anymore, so it is made possible to speak without one. If it's sewn shut, however, tough luck, figure it out (he can cut his mouth open any time he wants). As for the body parts that were not with him, it's possible the magician's assistant took her lower body with her, and Charles didn't know he could do that with his other body parts.
Other mistake: When Lydia tells the ghost Nadia that she's having a "really shitty day" with her back to the camera, you can see she's not really talking and is actually putting a pill in her mouth. The dialogue was just dubbed over it. It then cuts to a different angle and we see her repeat the exact same motion as she takes the pill a second time between cuts.
Visible crew/equipment: When Beetlejuice is first introduced, right before we see him, the camera rotates around the model and the sign above the grave lights up. Right before the sign lights up, you can ever-so-subtly see a part of the camera's shadow move over the model. It's subtle and easy to miss, but once you see it, it's pretty obvious.
Revealing mistake: When Wolf Jackson touches a headstone as he and the police are about to raid the church, you can see the headstone wobble when his hand lightly touches it, revealing it to be made of a soft, perhaps Styrofoam-like material and not a real headstone.
Continuity mistake: When Lydia first meets Delia, there's a man in the glass box behind her walking around. Between cuts, he suddenly moves back about five feet.
Continuity mistake: When Rory finds Lydia's pills and says "No," Lydia's mouth goes from closed to open between cuts.
Continuity mistake: When Rory is first seen at the studio, suddenly an extra production assistant appears behind him when it cuts from the medium shot to the extreme wide shot.
Continuity mistake: When Lydia introduces the guests on her show at the start of the movie, the way the woman is holding her dog "Taco" changes between cuts. (The dog goes from facing Lydia to facing away between cuts.) This sort of mistake happens several more times over the scene.