Eddie Rocket's is an Irish chain of American diners. I've eaten there in Dublin. Although at least that location is downtown, and in a bigger building, not a classic diner style building. The inside is very much American Diner themed with vinyl seats, chrome, jukebox controls at the table, and of course the menu of burgers, fries, shakes, etc.
We have an independent one, Herbie's, just down the road from us outside Cambridge. It's pretty good! They have a wide range of imported US fizzy drinks cans too!