In Michael's kind website, there is the Daiblo 011 Sovetop Sandwish Maker.
Fifty years ago we would make sandwiches in one of those suckers over the gas range.
Always missed them because we then kept moving to places that had electric stoves.
Now we have gas, and purchased a couple of the suckers. Not the Diablo 011, which must be the Cadillac of stovetop sandwich makers, but got them for a lot less than ten bucks a shot, as I remember (found them on the web). They are square not round.
They make great cheese sandwiches (you pick the cheese) and many other warm sandwiches. The edges are sealed and you butter the outside of the bread and it comes out golden with a nice crispiness if you heat it right (takes a bit of learning to get the technique the way you like it). Can make many other sandwiches with them.
Could do a sorta Reuben, or a cheese and tomato, or a ham and cheese, or a tuna melt or almost anything you can come up with.
We love them.
We do have one of those cheap tabletop electric jobbies that was given to us a number of years ago that we have never used. But see them all the time for ten bucks, more or less.
But if am in a hurry, just toss a bit of butter into the cast iron and voila, a melted cheese sandwich.
We are probably the only people, at least in the US, who have never owned a Foreman grill, so am no help there.
However they are made, grilled sandwiches, particularly the grilled cheese variety, are great.