Continuity mistake: When the crew are plasticine in the screensaver, the Cat slides into the igloo. From one shot he is sliding towards the igloo from an angle, but in the next shot he is heading straight for the igloo. (00:14:55)
Plot hole: Lister and Kryten seem to know about Cassandra's prediction that Rimmer would sleep with Kochanski despite the fact that they were not there when Cassandra said it. (00:25:15)
Suggested correction: Rimmer told them, just not on screen.
Continuity mistake: When Lister tells Cassandra he is not going to kill her, he sticks his chewing gum on the wall and begins walking out. Seconds later, when the fan causes the gum to fly across the room, Lister is now standing inside the room. (00:27:15)
Other mistake: Cassandra says that all the canaries will be dead in 1 hour, with the exception of Rimmer, Kryten, Lister, Cat and Kochanski. However, Kill Crazy was still knocked out in the transport vehicle and presumably would have survived too.
Suggested correction: But Cassandra was known to lie if it suited her purpose, she said that Lister would harpoon Arnold through the head and kill him but that's not what really happened either.
Yes, Cassandra lied about Lister shooting Arnold through the head with a harpoon, but that was an attempt to stop Lister from killing her. Mentioning which of the canaries will survive had no impact on any of her plans, so not mentioning Kill Crazy survived is still incorrect on her behalf.
Kill Crazy was safe in the transport vehicle, so wouldn't be affected by the station flooding. Mentioning him would have been irrelevant.
Plot hole: Lister is not allowed any dangerous objects that he might try to commit suicide with, yet when he is with the canaries on their missions, he carries an assault rifle. The canaries aren't always supervised and it would be impossible for a guard to stop any of them putting a gun to their head and pulling the trigger. (00:05:05)
Suggested correction: We only hear from Rimmer that that's a rule. Rimmer is usually wrong about most things.

Continuity mistake: In the scene on the Canaries' transport, where they first try to convince Kryten to record the women showering, Kochanski speaks the first line in the scene, but when the shot changes to the wide shot, she isn't there anymore. (Confirmed on the DVD commentary). (00:05:55 - 00:07:20)