Visible crew/equipment: Jareth says, "Sarah, don't defy me," and tosses the snake at her neck. In the next shot facing Sarah as she holds the snake, a crew member's hand is seen holding the end of the 'snake' below her right shoulder. (00:13:25)
Continuity mistake: The band-aid on Jill's doll disappears and reappears several times.
Factual error: When Steve Martin dies with the mask on, the inflation bulbs (the little black bags that inflate and deflate) deflate completely. Actually they should INFLATE completely and stay that way. The gas is still on full blast and Steve is no longer inhaling (which would cause them to deflate). It was done only to emphasize Steve Martin's demise but it's factually incorrect.
Continuity mistake: When Tiger and Fievel are doing their musical piece, Tiger wipes off the mirror and they appear the same size. When he lays out in front of the mirror, singing the line "We'll be there to pick each other off the floor", he places his head next to the cage bottom, still laying on the floor between them. In the mirror, however, that cage bottom is not reflected at all. (00:57:30)