Continuity mistake: When Gummer and Black Hand Kelly make an agreement, Kelly looks to his left and he isn't holding a glass. When it cuts, he is looking to his right and holding a glass. (00:40:35)
Continuity mistake: When Passepartout and Fogg arrive at The Royal Academy of Science explaining about breaking the speed barrier, Lord Kelvin asks where his authorization is and mocks Fogg while laughing and lowering his right arm. When it cuts, his arm is back up to his stomach. (00:13:00)
Factual error: The song that Davy Crockett plays on the violin is 'The Mockingbird Quick-Step,' written in 1855, several decades after the events of this movie (and later used by the 'Three Stooges' as a theme song.).
Plot hole: In the scene where the Sheriff stops the cows' brawl, he gives them to the Chinese man. The Sheriff knows what Pearl's animals look like, so why didn't he recognize the cows as Pearl's?