Live seafood at your table
There are a few Korean restaurants that specialize in live seafood. I think in terms of fish, they tend to stick to halibut (which, unfortunately, will not be moving when it gets to the table). But other items that do "move," if that's what you're looking for, are usually octopus (chopped up moving tentacles), sea urchin(quills), shrimp (heads), and sometimes lobster.
In Koreatown, there's Masan on Olympic, Wassada and Hwal A Kwang Jang on Western, Chung Hae Jin on 6th, and Island on Beverly. In Gardena, there's a place called Chomak near Western and Marine. And I believe Pacific Fish Center on the Redondo Pier also serves live shrimp, heads still attached.