Horizontal sandwich toasters are the popular kind of toasters around my parts. It can make from plain toasts to fully stuffed sandwiches and are not that hard to clean either. I guess Americans will consider them more as a grill though.
Panini presses are less common here only* because they take up more kitchen real estate than a smaller upright appliance and can be reasonably replaced by a skillet. "George Foreman grills" were in vogue for a few years in the 2000s, but I rarely ever see them now.