I'm sorry to say that the people at Rich Animation really screwed this one up. This movie is based on the Tony winning musical of the same name. Between bad animation and some bad choices with their artistic license, they made something truly terrible.
Anna Leonowens is a schoolteacher from England invited to teach the royal family of Siam (modern day Thailand). When she gets there, she starts trying to change certain traditions that she disagrees with. Meanwhile, the Kralahome (that's the king's adviser) is plotting to become King of Siam and sell the ivory of the sacred white elephants to make himself rich. His plan involves having the British declare Siam a protectorate and placing the Kralahome as the new king.
The movie has made quite a few changes from the original musical. Most of these are understandable, but some of the changes they took too far for my taste. They take out the slavery theme to avoid controversy; that's understandable. They added animal sidekicks and villains; this is also okay, but they went overboard. Three animal sidekicks is too much and I could really have done without Mr. Little. It was decided the movie needed some action, so they created a bunch of horrible CG monsters as well as a scene involving a blimp powered by a panther on a bike?
The animation was just as bad, if not worse. They use computer graphics in the movie and it really sticks out (not in a good way). The CG water during the opening storm wasn't very good. However, the most glaring example of bad CG is the statues that sneak up on the King during "It's a Puzzlement." The movement of the characters was inconsistent. Sometimes, you had fine movement, other times the movement of the characters was unrealistic and jerky. The worse offense here was the Prince during the introductions between Anna and the royal family. What was obviously supposed to be a proud strut was a laughably jerky walk.
Don't watch this movie. If you want an animated movie, choose a different one. Just about any would be better. If you specifically want to see a show based on this story, rent one of the live action adaptations or, better yet, support your local theater and see it live.