The "it" brewery in CT these days is New England Brewing Co. Their year round beers are average (Sea Hag probably being the best) but they have a set of beers that sort of come and go regularly. 668, Ghandi Bot, and Imperial Stout Trooper all are worth seeking out. Then they have some one-offs which are almost always good, the most recent being Coriolis IIPA. Watch their facebook page for what's new.
City Steam's beers range from awful to awesome. The place is a lot of fun. They do tend to run out of their better beers quickly so if you want to try something they have, go for it.
A cab ride can get you to Old Burnside in East Hartford. I've never been there.
At the rate new breweries are opening up, you may have a chance at another one or two within cab distance by december!