Jackie's hair grows between shots in the beginning between stealing the sword and sliding down the hill. This was due to an accident he suffered while filming early scenes for the film, which left him with a small hole in one side of his head. His hair has remained reasonably long in most of his subsequent films.
The scenes supposedly shot in some (probably) African country in the beginning of the movie were actually shot near Postojna castle, Slovenia, just like the castle-monastery part of the movie. The only difference is that those scenes were shot below the castle.
At the end where The Asian Hawk is supposedly jumping onto a balloon floating thousands of metres in the air, just as he lands on it, a tree is clearly visible in the background on the same level as the balloon.