Only looking at Disney version here...
No name apart from Beast.. but when Belle is singing to the sheep in the opening, reading from the book (which, I believe, is supposed to be the same story as what is about to happen to her), she says 'Here's where she meets Prince Charming'.
On another note.. when my BF and I were waiting to see Belle and Beast in Dec 2005, one of the minders kept coming around and telling us that Belle and Beast were going to be going soon but Snow White and 'Snow Prince' would be here soon

We were like, 'Snow Prince?!'
To belle of the ball - I'm 21 and have been in love with Disney for as long as I can remember

(of course, now there's Pixar as well!). I mostly prefer the older films, specifically
101 Dalmations,
The Aristocats,
Sleeping Beauty, but also more modern stuff, like
Emperor's New Groove and everything Pixar!