Continuity mistake: Lister's rolling pin is dirty with flour when Christine walks in, but when Lister turns around, it's clean. Then it's dirty two seconds later, and then disappears completely after Lister drops the bowl. (00:26:12)
Visible crew/equipment: Just after Lister hits the toaster, a pair of legs can be seen moving in it's reflection a moment before the scene ends. (00:11:30)
Out Of Time - S6-E6
Revealing mistake: When the crew wake up from stasis, there is a model shot of Starbug flying towards the epicentre. You can see the legs of Starbug partially disappear as it gets closer to the ship. (00:12:45)
Rimmerworld - S6-E5
Continuity mistake: During the hold-up scene with the Simulant, in the close-up of her speaking, her face is in darkness. The camera cuts away to Rimmer running for the escape pod, and then back to the Simulant, who is now well lit by a pair of overhead lights. (00:12:10)
Continuity mistake: During Ace Rimmer's funeral, the blow up doll is not visible earlier in the scene next to the Cat, but then appears from nowhere. (00:24:50 - 00:25:40)
Stasis Leak - S2-E4
Continuity mistake: When Lister's double says 'You don't look pleased to see me' his locks move from over his shoulder to down his back and they continue switching during the scene. (00:25:30)
Out Of Time - S6-E6
Visible crew/equipment: When Lister gets killed, a boom mic can be seen on the very far right of the screen next to Rimmer. (00:26:25)
Continuity mistake: In George's memorial service, the extras are totally different in the shots from George's point of view to the shots from the back of the room. Look for the woman with brunette hair and orange overalls - she's there in the forward shots but missing in the reverses. The chairs, tables, props, costumes and character placements are all completely discontinuous. (00:12:15)
Revealing mistake: When Lister leaves for his exam, he walks through Rimmer. As he does, both Rimmer and Lister become transparent when it should have just been Rimmer. (00:25:50)
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 The Cat does his dance with Blue Midget, he stands behind one of the legs of Blue Midget and changes his clothes. The old clothes he throws on the ground when changing disappear in the wide shot of the landing area. (00:08:55)
Continuity mistake: When Lister puts his Better Than Life helmet on, the cable is hanging over his right shoulder. In the next shot it is hanging down over his left shoulder. (00:15:45)
Continuity mistake: When the bike appears on the beach, the front tyre is above the level of sand. In the next shot it has sunk by about an inch. (00:17:50)
Suggested correction: Lister can only see M-Corp products and M-Corp employees. Cat is not an employee of JMC or M-Corp, so he disappears. Lister is the only member of the crew who is employed by M-Corp at this point.
Suggested correction: Cat was a descendant of the cat Lister brought aboard Red Dwarf. Would it be possible that the new owners might have stricter security controls, and Lister was sent to Stasis for a different reason?
Andy Benham ★
Inventing Deux ex machina explanations for a plot hole doesn't make it any less of a plot hole. M-Corp erases all of the Jupiter Mining Corporation's equipment, personnel and infrastructure from Lister's life. In no way is Cat a part of that. He has no connection at all to the Jupiter Mining Corporation, and until he meets him in Episode 1 no connection to Lister, either.
If M-Corp only erased JMC equipment from Lister's life, then Kryten, who belongs to DivaDroid and not the JMC, wouldn't have disappeared either. He disappears as he doesn't belong to M-Corp, not because he belongs to the JMC. Cat has no connection to M-Corp, as he wasn't a part of the JMC (as you pointed out), and is therefore erased for Lister.