Just went to Umamiburger last night with friends -- amazing! The specials were the pot roast burger and the open-faced scallop burger. No worries, the more traditional burgers are on the menu too. They make their own condiments. It is a 'must' for any burger lover -- 850 S. La Brea Avenue (bet. Olympic and Fairfax). I think it is BYO (we brought wine).
Also, I think Tom Bergins on Fairfax near Olympic makes great burgers -- nice touch with the potato buns.