First of all, I don't mean an American cheese sandwich! Do you grill cheese in your country? What types of cheese do you prefer?
In the last 5 years we (Czechia) have become fanatics in grilling cheese. We grill hard cheeses like feta and haloumi, melty cheeses like oštiepok or mozarella, cheeses with a skin like camembert, smoked cheeses, aged cheeses, anything really! I wouldn't be surprised if someone tried grilling cottage. 😀 😀 😀 Companies come up with new grill products every year, and you can even buy various cheese+seasoning+sauce sets in the store. Is this a thing where you live? (Grilled haloumi, camembert and oštiepok)
Edit: Sorry for a typo. 😀