The Weary Traveler is a nice place to take visitors from out of town, especially those that have a choosy tongue. The menu isn't too broad, and I'd say pretty standardized, but with a twist that sets it apart from the more mundane and generic restaurants.
A staple, which I think everyone must try at least once, is the Bad Breath burger. I can't add much that hasn't already been said before, but it is honestly a high contender as one of the best burgers in Madison in my opinion. Organic meat can't be beat.
Although perpetually slammed with nearly everyone on planet Earth, when you are seated this cramped atmosphere is no longer present. I've generally always had sweet and diligent service, but I am lax when it comes to this. Feed me, check up on me once or twice, and booze me up and you are a star in my book. And the Weary Traveler does just that.