This is actually my preferred way of dining, usually by myself, or with one other person.
There's a restaurant on Wilson, Fontana Grill, that has been far better at the bar than at a regular table. It works perfectly for their wine flights and you can get an amazing deal on Mondays. There is no different menu for bar versus table but the cevapicici (sp?) entree is a great deal at $10 if you like that type of Balkan fare. The pizzas and papparadelle are usually good choices too. Maybe it's the stellar customer service at the bar, but when my GF and I want to learn or try new wines, talk about improv, or just about anything, Mike the bartender is a great host for your evening.
I also like Bristol at the bar better than I do at the tables due to the acoustics. I think I posted about my experience in the Bristol thread.
Another place I tried recently like this was Custom House. The pork belly sandwich and the ice cream sandwich dessert was outstanding but it didn't feel as homey as the other places, but then again, they aren't striving for something more formal.
Mado would be a place that I would happily return to and sit at the bar. It has a similar feel, and food, to the Bristol.