Here's a few that are near me...I would love to see a comprehensive list.
Guilford Bistro - Guilford CT. I haven't eaten here yet but my neighbor who is a wine freak goes all the time...
Nataz, North Branford, CT. This used to be great before it moved (zany place, loud music, lots of fun and party atmosphere...now it's more sophisticated like a regular restaurant. Unique menu as far as letting them choose for you...owner is a nice guy.
The Place, Guilford CT - This is an outside eating venue where you sit on tree stumps and bring your own side dishes and drinks. It's seasonal but should be opening very soon. I liked it...my hubby wasn't thrilled...it gets crowded once the weather warms...great place for a party.
Chef Waynes Big Mamou in Springfield. Its a little hole in the wall place that has great Louisiana style dishes. Theres always a line out the door when it's nice, so bring extra bottles of whatever you're drinking and relax with friends out on the sidewalk.
63 Liberty St, Springfield, MA 01103
In New Haven, CT, it's Nini's Bistro on Orange St. Reasonably priced, creative prix fixe menus (they change every 2 weeks) and BYOB! We always take advantage of this and bring bottles from our collection that we would never order in a restaurant.
Chef Stu of Nini's is a frequent poster here.
In the Hartford area, places that allow you to bring personal wines and pay a corkage fee are:
Pazzo-Glastonbury and Rocky Hill
Tango-Glastonbury (I think)
These are the ones that come to mind off the top of my head.