Lots. It's very common, especially at extremely expensive sushi places, for some types or cuts of fish (or other seafood) to be cooked, and to be sauced differently than others. Go to some $200+ a meal places and you'll definitely eat quite a bit of it.

I think the most common way I've had it cooked it blowtorched, but some types of clams are baked, others are grilled, etc.

(I live in Tokyo currently)