Continuity mistake: When Frank gets in the elevator at the end of "Transexual Transylvania", he says his last bit, and turns his head left. After the cut, he's facing straight out.
Continuity mistake: After freezing her feet to the floor, Frank starts to assault Janet. As he does, he pulls her right bra strap down to her arm. A moment later, it's back in place.
Continuity mistake: When Frank N Furter goes to kill Eddie, there is no blood on the ice, but a few shots later, there is a trail of blood that came from no-where.