The book that David recommends to Lana, 'The Moon is a Harsh Mistress' was written by Robert A. Heinlein. It won the Hugo Award for best science fiction novel in 1966 and is considered a sci-fi classic.
By appearing in this, Aaron Paul is one of the few people to ever appear in two episodes of Black Mirror. He previously played the voice of Gamer691 on USS Callister (2017).
Cliff wears a very particular MacGregor brand dressing gown. This is the same garment worn by Arthur Dent in the original TV adaptation of The Hitch Hiker's Guide to the Galaxy (1981).
Lana reads Arthur Hailey's 'Airport', Jacqueline Susann's 'Valley of the Dolls', and Robert A. Heinlein's 'The Moon is a Harsh Mistress'. Ross has a copy of Ray Bradbury's 'The Illustrated Man' on the spacecraft.
On the spacecraft, David keeps a copy of Ray Bradbury's science fiction anthology 'The Illustrated Man,' which contains a short story that describes a space crew's final thoughts and dialogues as their craft fatally falters and fails. It's a foreshadow of the physical and psychological ruin the characters await.