In my humble opinion, Japanese people have not been good at building a community outside of their own country. Little Tokyo in downtown Los Angeles is an exception. When I visited there, I could feel like being in Tokyo, a little.
In the heart of Little Tokyo, there is the leading Asian American theatre company East West Players. Their current show is the British musical CHESS, which tells a star-crossed love story at the world chess championship games during the Cold War. A very interesting, creative choice. East meets West, indeed! In spite of some good reviews, including the Los Angeles Times, the Saturday night performance I attended was far from sold out. EWP definitely deserves better.
For a pre-theatre dinner, how could I not choose a Japanese restaurant? Mochiron I did and my pick was Toranoko, an izakaya Japanese tapas bar. They have a wonderful happy hour menu which is available even for Saturday. If Naoko-san would fortunately happen to serve your table, you can enjoy the authentic Japanese hospitality, too.