The Beast is somewhat frightening when he first appears, and when he first encounters Belle. She faints when she first sees him , but soon becomes accustomed to his appearance, as does the audience watching the film.
There are several rather creepy (but beautiful, and fascinating to watch) special effects throughout the film. Disembodied arms appear out of nowhere and serve coffee (or tea) to whomever is dining, and the eyes of the statues carved as ornaments on the fireplace turn to watch whoever is in the house. These effects were all done by people in makeup and costumes, and with lighting effects, not by computer animation.
The death scene at the end is rather intense.
It's intended to be rather funny, but when Belle's sisters look at their reflections in the magic mirror that Belle has brought, they see themselves reflected as a monkey and old lady.