Continuity mistake: When Mia arrives at the cafe she works at the morning after her and Sebastian first dance together, she has a yellow bag, but when her and Sebastian walk out of the cafe later, she has a larger red bag.
Factual error: The main character is being wooed by Lockheed - an aircraft company, whose representative then gives him gifts for his kids - one of which is a desk model of an aircraft, however it is of an aircraft produced by one of Lockheed's competitors - Grumman, which would be akin to a GM rep giving a toy Ford Mustang as a gift. Both companies continue to remain competitors as Lockheed-Martin and Northrop-Grumman since the government vetoed a proposed merger back in 1998, and at no time have the two companies collaborated on a major project.
Continuity mistake: While Eddie performs "Hot Patootie", he's seated on the motorcycle with Columbia for a bit, and when Eddie stands up he's holding the mic in his left hand, but as he walks up the steps it's in his right hand, then next shot when he's facing Frank-N-Furter the mic is in Eddie's left hand, and next shot it's back to his right hand again.