Timeslides - S3-E5
Factual error: The writer's understanding of the history of Nazism and its leaders is a bit shonky. Claus von Stauffenberg did not plant a bomb in Hitler's briefcase - he put it in his own briefcase which he planted in a meeting room next to Hitler (some berk moved it). This was in July 1944, while the last Nuremberg rally - which Lister visits, bringing back the briefcase - was in 1938. Stauffenberg didn't even join the anti-Hitler conspiracy until 1943. Red Dwarf is not an 'alternate history' - they correctly identify elements of the Stauffenberg plot and the Nazi regime, they just get them wrong.
Plot hole: In the episode 'Backwards' most of the things that happen on 'Backwards Earth' are correct, except, of course, in reverse. But there is an exception: in the scene in the Cafe, when the waitress comes to 'dirty' the table, she tips a box of trash on the table. If you play this scene backwards, the trash leaps from the table into the box. Even on a 'backwards earth' I can't believe that trash spontaneously leaps about... (00:09:30)
Revealing mistake: When Kryten is doing his driving test, as soon as we see Rimmer and Kryten in the cockpit you can see the wire attached to Chris Barrie behind him, next to the aerial on his hat, going vertically out the top of the frame. (00:03:40)
Continuity mistake: At the start of the episode, it is clear that the capsule fully rotates and the "contents: 2" sign is not on the capsule. (00:01:05)
Other mistake: When Lister (in Rimmer's body) pleads the Cat to lend him his body, he says "how else can I pilot White Midget?" In the next scene, the Blue Midget is being piloted, and White Midget was originally abandoned for Starbug. (This mistake was admitted by the crew). (00:21:45)
Plot hole: If everything goes backwards, shouldn't Kryten and Rimmer have got fired, done their job and then got hired? Rimmer & Kryten discovered that everything was backwards in the cafe earlier in the episode. At the club they did their act and then got fired. Put this 'forwards' and it becomes wrong.
Other mistake: At the start of the episode, there is a spoof Star Wars-type caption, which spools up the screen very quickly. Too quickly to be read, in fact... which may explain why few people have noticed that the last line of the caption, "And now the Saga Continuums...", is written twice. (00:00:20)
Other mistake: When the meteor hits Starbug, there are no stars outside the front of the ship at all. (00:07:20)
Timeslides - S3-E5
Continuity mistake: We are told that it is impossible to move outside the frame of a slide, yet when we are shown the slide of young Lister and his band, all we see is the band on stage but the crew move freely about the pub. (00:11:40)
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.
Timeslides - S3-E5
Continuity mistake: When the slideshow starts, the photos in Lister's hands disappear between camera cuts. (00:06:20)
Revealing mistake: Starbug and Blue Midget wobble on a number of occasions during the chase. (00:23:25)
Timeslides - S3-E5
Deliberate mistake: The Eagle on Hitler's briefcase is that of the (post war) Federal Republic of (West) Germany - not that of the Nazi German Third Reich. This was deliberate - showing the Third Reich Nazi emblem of an eagle holding a swastika would have had the episode banned in Germany, Austria, Poland and any number of other European countries. (00:08:25)
The Last Day - S3-E6
Continuity mistake: When Kryten is packing his heads away at the point where he says 'how would the manufacturers sell their latest model?' he is looking forwards. The camera changes angles and he is looking down. (00:04:00)
The Last Day - S3-E6
Revealing mistake: You can tell Robert Llewellyn is reading his lines when Kryten receives the computer chip. He is looking much lower than the chip in his hand and it was obviously quite a complicated piece of dialogue to remember. (00:12:35)