Reservoir Chronicle Tsubasa: the Movie - Princess of the Bird Cage Kingdom

The gang drops into another alternate universe in search of Sakura's feathers. This time, their quest involves rescuing an AU Princess Tomoyo from an evil would-be usurper. It's drawn in more or less traditional fantasy style, the highlights probably being a fight scene for Kurogane and Fai against a routine military patrol (poor patrol) fairly early on and an aerial combat sequence between Syaoran and the main villain near the end. (Amazon)