If you're in New Britain when there is a show playing at the Repertory Theater, you will find it a nice way to spend the evening. It's an amateur community theater but its quality is good and seems to be well run.
It's in a residential neighborhood so its a little difficult to find and you will probably need to park on the street unless you get there early enough to get in their small parking lot. The area is safe.
The inside is surprisingly nice, with very good visibility. It's air conditioned and there are refreshments for sale in the lobby. Its been around since the 1940's.