Sun 2 Diner in Nakameguro has a great atmosphere and a large menu with several varieties of hamburgers, sandwiches, other main dishes, and desserts. They also have a number of Anchor Steam and Hawaiian beers in bottles available.
I sampled the cheese burger. It was served on a handmade bun which almost disintegrated from the grease and had too much lettuce. It was made from good quality beef, but there are closer places for a gourmet burger. The main selling point here is the atmosphere.