Angela Lansbury and Bernadette Peters would later go on to work on Don Bluth's Anastasia (1997). They recorded their dialogue for the two films during the same time period as this film although for different studios (Disney and 20th Century Fox, respectively).
At the beginning of the song "As Long as There's Christmas", the first bit of music and the way the snowflakes swirl through the room is similar to Pocahontas (1995)'s "Colors of the Wind" when the leaves twirl through her hair and the music is the same.
The trivia item below may give away important plot points.
In the early stages of production, the film was planned to be a direct-to-video sequel to the original film, taking place after the events of the first film and featuring Gaston's vengeful younger brother, Avenant, as the villain. Interestingly, Avenant was the villain in Jean Cocteau's 1946 version Beauty and the Beast (1946), and the inspiration of the Gaston character, but did not appear in any way in the 1991 film. As the film would no longer be Beauty and the Beast (1991), however, the filmmakers felt it would lack the magic of the original, and decided to change the story entirely, making it into a midquel. Avenant's goal (to ruin the lives of Belle and the Prince), however, was used in the final scenes of the movie for the film's antagonist, Forte the pipe organ (who decided to kill them both to stop the spell breaking).