Disney currently has three shows running on Broadway this summer; The Lion King, Frozen, and Aladdin and despite how successful Disney has been on Broadway the children's company have a relatively short history with the Great White Way.
Disney Theatrical Productions began in 1993 with their first show, Beauty and the Beast, opening the following year. The show was a huge success, running until 2007. Disney subsequently adapted The Lion King for the stage, opening in 1997 and continuing to run today at the Minskoff Theatre. The enormous success of these two shows has made Disney a regular attraction on Broadway.
The Little Mermaid, Mary Poppins, and Newsies have been among Disney's biggest successes on Broadway. They have also had some lesser known adaptions including Pinocchio, The Hunchback of Notre Dame and Freaky Friday.
Since beginning in 1993 Disney Theatrical Productions have created twelve productions with about half of them making it to Broadway. Their other productions have been performed internationally and regionally, some of them specifically designed for schools to perform such as High School Musical.
There are plans to adapt The Jungle Book, Hercules, and Alice in Wonderland for Broadway. For now, you can enjoy The Lion King, Frozen, and Aladdin with tickets available here.