On Sundays (five more including this Sunday) there is a performance of "John Henry" for kids at 12:00 pm in Carlson Park in Culver City. The park is located at Motor and Braddock (It is not far from Trader Joe's on Culver Blvd.). We went last week, and it was very well done and a lot of fun.
They also have a show called "Leading Ladies" at 2:00 pm which is more for older kids and adults. We did not see that one and I am not sure how appropriate it is for kids.
If you would like more info. you can go to the CCPT website.