Continuity mistake: After Passepartout has fallen off the tree and landed in front of Fogg, there's a broken twig on his back. When it cuts to him getting up, the twig is suddenly gone. (00:03:45)
Continuity mistake: When the old valet has left Fogg, Fogg gets on his knees. It cuts to Passepartout beginning to fall off the tree, then when it cuts again Fogg is suddenly standing. (00:03:40)
Continuity mistake: When Passepartout takes the little red book from Fogg, his grip on it changes between shots. First his left hand holds the top left corner of the book and his right hand the bottom right corner. In the next shot, it's the opposite. (00:10:20)
Continuity mistake: On the train to Agra when Passepartout is telling the story about Wong Fei Hung to the kids we see Fogg looking in a book. A close-up shows a pen and a magnifying glass on the book. But when it cuts to a wide shot both items are gone. (00:49:45)
Deliberate mistake: If Fogg and company are well on their way around the world, how on earth did Inspector Fix beat them to India?
Continuity mistake: When Fogg meets the character played by Rob Schneider, Rob says "Now, your stink is your most powerful weapon..." while pointing with his fingers. When it cuts to Fogg you see Rob's hands suddenly appears on Fogg's shoulders.
Continuity mistake: When Passpartout is making hot tea, he throws the water into Fix's crotch. A few minutes later, when Fix is looking back at Passpartout, his pants are fully illuminated and are dry.
Answer: Hong Kong was indeed under British rule from 1841-1997. In short, it stems from the First Opium War where in the aftermath of the war, China ceded (gave up control of) Hong Kong to the British. After the war, with the cession of Hong Hong, it wasn't technically part of China any more and Britain didn't really seek to occupy more of China.
Bishop73