Continuity mistake: When Passepartout descends from the ship a man with a pink turban approaches. A shot later he's vanished.
Continuity mistake: When Passepartout climbs up the balloon to fix the gas Fogg holds a rope with his left hand. A shot later he isn't holding it.
Audio problem: When the balloon starts rising Fogg cries "Passepartout! Come on, man!" but his lips aren't moving.
Continuity mistake: When Passepartout unties the rope holding the balloon there are two men with blue suits and grey top hats greeting Fogg. A shot later they're suddenly away from him.
Continuity mistake: When Fogg is reading Passepartout's resume the way he holds the envelope changes between shots.
Factual error: Passepartout takes a stroll from the Kamakura's great Buddha to Kyoto's Heian Shrine which are really over 400 km apart.
Continuity mistake: When Fix orders to open the prison cell, Aouda stands up. The way her grey shroud falls and covers her dress differs between shots.
Continuity mistake: When Fix arrests Fogg, Aouda is half a meter behind him. A shot later she is right next to him.
Revealing mistake: When Passepartout is on top of the train an arrow hits him but wobbles and bounces off him revealing it's a rubber prop.
Continuity mistake: When Passepartout is being burnt alive the way the ropes are tied around him differ between the wide shots and the close-up.
Continuity mistake: When Fogg orders dinner in the boat the man behind with the fez disappears in the close-ups.
Continuity mistake: In Spain when Passepartout grabs the red tablecloth he wraps it around his arm. Shot changes and he wraps it around again.
Continuity mistake: The hull of the Rangoon boat changes from white to black.
Factual error: During the balloon ride the Basilica of the Sacred Heart of Paris is seen. It began to be built in 1875, 3 years after the date the movie is set.
Factual error: The Welsh Guards parading at the start of the film weren't formed until 1915. The film is set in 1872.
Continuity mistake: When the train in Mumbai leaves, the light keeps changing drastically in every shot.
Continuity mistake: The Mongolia ship on the Indian harbor (a set) is different to the one that sails the sea (a real ship), note the design of the hull and its rust stains.
Continuity mistake: The way Charles Boyer holds the postcard with the balloon picture differs between the wide and close-up shots.
Visible crew/equipment: The first time we see Fogg the shadow of the camera operator (film director?) and camera sliding smoothly along tracks is perfectly visible.