Revealing mistake: At the start in the cockpit of Starbug, the green screen behind Lister is visible instead of the painted starfield that should be there. (00:02:35)
Suggested correction: That is because Starbug is parked inside Red Dwarf at the time, and the stars wouldn't be visible.
Continuity mistake: After Starbug and Blue Midget leave Red Dwarf, there is a shot of Blue Midget driving away from the ship, towards the camera. Cat and Kryten are the only two on board as Rimmer and Lister are on Starbug, but there are three people shown inside Blue Midget. This is because the shot was taken from series two, in which Rimmer, Lister and Cat were inside it. (00:03:25)
Visible crew/equipment: If you look closely when the camera follows Lister (in the scene just before the meteor crashes onto Starbug) you can actually see the edge of the set and some studio lights. (00:04:10)
Other mistake: When the meteor hits Starbug, there are no stars outside the front of the ship at all. (00:07:20)
Continuity mistake: When Lister is telling Rimmer that he is going to die and that Rimmer doesn't need food, there is snow over his face, hair and coat collar, but a few seconds later, the snow has mostly disappeared. (00:09:35)