Other mistake: Whilst Captain Holland, Lieutenant Pizer, Dr. McCrae, Bob and Vincent are riding in the ship's transport system, the tube comes to an abrupt end due to meteorite damage. Since the tube is outside the ship, there would be no air left for the humans to breathe, nor could they survive in outer space completely unprotected for long. Plus, they would't be able to hear Bob's statement that they should try the main corridor. (01:17:40)
Revealing mistake: At the start of the film the Palomino goes into a roll, and the two crew members sitting around the centre console are sitting in standard office chairs. Despite them rolling and hanging on, if you look at the bottom of the chairs they're not secured to the floor, instead the actors are pushing half of the feet off the floor.
Continuity mistake: As the boarding tunnel extends to the Palomino, V.I.N.CENT is seen floating up. In the long shot, he has disappeared, with no evidence of him in the tunnel until the door is opened.