Continuity mistake: When Rimmer finds the crew sneaking out to go fishing, he is stood facing away from them with his arms folded. In the next shot his arms are behind his back. (00:09:00)
White Hole - S4-E4
Continuity mistake: Kryten takes the computer slug out of the machine with his left hand yet in the next shot it is in his right hand. (00:20:00)
Continuity mistake: As Ace Rimmer is leaving, the Cat priest has his arms behind his back. In the next shot they are in front of him. (00:06:10)
Revealing mistake: In the sleeping quarters, Rimmer turns on a swivel chair. This would be impossible as he is a hologram. 3.10. (00:03:10)
Suggested correction: As a hologram, this would also mean Rimmer could not touch or sit on the chair. The chair was likely a hologram as well, used to be operable by Rimmer. It has been shown before that Rimmer can still interact with other holographic objects.
White Hole - S4-E4
Continuity mistake: When Kryten tells the toaster not to offer Lister any grilled bread products, Lister is looking down at the table behind him. In the next shot he is looking over his shoulder at the camera. (00:02:50)
Revealing mistake: When Lister is in jail with the Cat, as he is looking out of the window, he is naming famous people. He says "Mussolini" before he actually looks at him. (00:10:55)
Suggested correction: First, Lister is shown looking out the window throughout the scene, and second, he still has an entire view of outside the window within his eyesight. Lister likely already seen Mussolini within his eyesight before turning to face his direction, which he likely did to assure himself it was definitely Mussolini.
Other mistake: Kryten sees Ace's ship before it materialises. (00:12:55)
Revealing mistake: One of the escort boots passes through a wall as it goes round a corner. (00:10:10)
Continuity mistake: At the start of the episode when young Rimmer is hanging from the tree, his arms are by his sides. In the next shot his left arm is bent at the elbow. (00:01:00)