“Toasted cheese sandwich” is common on menus I’ve seen.
This is what I do, except I zap the sandwich in the microwave for five seconds to make the cheese extra gooey.
Yeah, but toasting the sandwich (as opposed to frying it up on a griddle or pan) makes it taste WAY different (and much inferior). So I think there should be a separate term so the diner knows which way it was prepared.