Deliberate mistake: In the first few series, it is suggested Lister and Kochanski barely know each other. In 'Balance of Power' Holly says that Lister has only ever spoken 173 words to her. However, by series 4 Kochanski is referred to as Lister's ex-girlfriend with whom he shared a relationship. In the series 4 documentary, Doug Naylor explains that Lister's attitude towards Kochanski was immature in the first series which is why they changed his back story from wanting to be with Kochanski to actually having been with her by series 4.
Red Dwarf (1988)
1 deliberate mistake in show generally - chronological order
Other mistake: When Cat picks up the can of Leopard lager which is invisible to Lister, he shakes it, pops the cap and sprays Lister with foam. The foam is visible but the can remains invisible, and that makes no sense. If we are seeing the scene from Cat's point of view the can and foam should both be visible, and if it is from Lister's then neither should be.
Quarantine - S5-E4
Kryten: What a smee... What a smee... What a smee - hee.
Trivia: It was rumored that Alfred Molina and Alan Rickman wanted the part of Rimmer. Lee Cornes also auditioned for this role (he later guest starred on the show), as did Hugh Laurie. Robert Bathurst, Norman Lovett and David Baddiel auditioned for the role of Lister.
More questions & answers from Red Dwarf
Answer: It's Queen Victoria, someone any Englishman would recognize, and needed no introduction.
Kryten was introducing the "people" to Rimmer. Rimmer isn't an Englishman; he's not even from Earth; he's from Io.