After author Terry Pratchett filmed his cameo, he was stopped by customs at an airport in Australia. He had a large box of plastic teeth from the set, which distressed the officials. He explained the situation, and pointed out that they should probably be more concerned with the large box marked 'DEATH.'
Corporal Nobby Nobbs' full name is Cecil Wormsborough St John Nobbs. He has a paper signed by the Patrician of Ankh-Morpork verifying that he is indeed human.
HEX, the wizards' computer, bears a label 'Anthill Inside' which is a reference to the 'Intel Inside' labels on many PCs.
Nigel Planer, who played Mr. Sideney, did the audiobook narration for twenty-one of the first twenty-three Discworld novels as well as multiple voices in all three Discworld video games.
Constable Visit's full name is Visit-the-Infidel-with-Explanatory-Pamphlets.