I usually make lobster pot pie, lobster rolls, lobster risotto, lobster bisque, lobster fried rice, and lobster salad.
depending on the size and quantity of the pieces i.e. not too small, you can batter and deep fry them to make "lobster bites."
If I have leftover seafood, especially shellfish, I always think "stock" or a "soup" of some kind. Stock is one of those things where its always better to have it and not need it than to need it and not have it. ;-)