Plot hole: When Fogg convinces the cargo ship captain to take him to Shanghai, he pays for the passage of himself and two of his colleagues. One of these colleagues is Aouda, but as Passpartout is not there, the other one must be Fix. Why, then, does Fix have to pay for his own passage? If you notice, Fogg seems surprised to see Fix on board.
Continuity mistake: When Fogg stops the Purple Cloud's propeller on the Alp after inspecting it, the fan he puts his hand on to stop is pointed downward at a 45 degree angle to the ground. But when it shows him coming around the corner of the vehicle, it is sticking out past the side parallel with the ground.
Continuity mistake: Near the end of the movie, when Fogg and party are on the Henrietta, there is a scene at the Reform Club. On each side of the big map, there is a chalkboard with wagers and current odds. When the scene opens, the chalkboard on the left is visible, and the odds are 10 to 1. The camera angle changes to show the chalkboard on the right, and the odds are now 8 to 1.
Plot hole: The ship they missed in New York was headed for Liverpool, so they took one bound for Bordeaux, France. After the ship was commandeered, they proceeded to Liverpool, but with Fogg in charge, he could go anywhere he wanted. Southampton was about the same distance as Liverpool from where they were, and they could have docked at a point closer to, or even in, London, their destination.