the theatre not the theater

I love going to plays. In fact just today we went and saw Chitty Chitty Bang Bang at HCT West Valley. I'm so excited that the tickets for shows in London are so inexpensive. I'm not sure how much time we will have free to go to shows, but here is my wish list.

1. Les Miserables- I will see this that is one thing that is for sure. 
2. Singin' in the Rain- love.
3. Something at the Globe Theatre.
4. Lion King.
5. War Horse

I've seen Wicked, and The Phantom of the Opera so I'd want to see something new.  Is there a play that I've overlooked that is a must see?