In all original legend and all previous film adaptations, Sinbad is Muslim and comes from Baghdad sometime during that city's Golden Age (AD 762-1258). In this version, Sinbad seems to be of the Greek polytheist religion. His friend Proteus is the Greek prince of Sicily, which places the story sometime between 733 BC and 212 BC.
In the scene in which the entire crew, including Spike, is losing their lunch after traveling at top speeds you can hear a man say, "Hey, where did he get the carrot?" According to the filmmakers, that line was a joke someone said during story production that made everyone groan so much that they decided to put it in the movie.
The original storyline for the film was to focus on the first voyage of Sinbad, then it would be followed by 6 sequels focusing on the other six voyages he had. However after the box-office disappointment of The Road to El Dorado (2000), Jeffrey Katzenberg decided on having one movie, which didn't just focus on the one voyage.
In order to get a U rating (same as an American G) the British Board of Film Classification (BBFC) requires that 12 seconds featuring a head-butt had to be removed. An uncut 12 years and upwards rating would be the lowest that would allow the head-butt to be kept in.
According to an article in Wired, this is the "first Hollywood production created entirely on Linux". Animators used more than 250 HP workstations, loaded with Red Hat Linux and custom animation software, to render the film.
The trivia item below may give away important plot points.
The monster that attacks Sinbad's crew at the start of the film is called Cetus. It actually originates from classical mythology and it was the monster which the warrior Perseus saved the maiden Andromeda from.