Disney has three shows currently running on Broadway:

• The Lion King
• Beauty and the Beast
• Aida

This show is based on Disney's cartoon movie.  The Broadway version includes songs from the movie as well as new songs just for the stage.  Here is where I say "Here is the site."

Just like "The Lion King," "Beauty and the Beast" is based on the Disney cartoon.  And again, the songs are both from the cartoon and new.  Here its the site.

This Disney musical is not based on a cartoon.  I do not know much about the show save that it is by Disney.  Here is the site for more helpful information on this show.