My friend and I had an early dinner at Bedford Falls. The food and drinks were good, and it was convenient to What Happened? We chose it because it has a small backyard, so if the weather is good, you can eat outside. I would recommend making a reservation for the backyard. There are also tables on the sidewalk, but the back is nicer, and part of it is under an awning.
You can get the address and see the menu and photos at the link. I would also recommend making the reservation for early, in case there's a lunchtime rush. Plus, you want to get to the theater early because it's general seating.