Liver wouldn't be on my list. Same with oysters - my mother used to make some oyster casserole at Thanksgiving that she forced me to eat, and the revulsion stuck with me. It also spread to other raw shellfish like mussels. I do eat steamers on occasion, as well as clam chowder, baked/grilled scallops and shrimp. Not a huge fan of lobster, mostly because I don't like to work that hard to get my food! I'm considered a very strange person in New England, I can tell you that!
I don't cook foods that my husband dislikes because it's a waste of effort, but I do eat them a lot when I go out. I never, ever order chicken when I go out - too much of that at home and I like to order things that are harder to prepare.
And in my view, the crust is the best part!