Visiting local wineries is one of Kristen and Francisco's favorite pastimes. Connecticut has some fantastic wineries you can visit during your stay. (We recommend visiting Chamard Vineyards!)
Connecticut also has a budding brewery scene you can check out. We enjoy Counter Weight Brewing Co. (If you're into sour beers and experimental flavors, take a look at OEC Brewing.)
A trip to CT is not complete without some history like visiting the Mark Twain House or Mystic Seaport Museum, or New England Air Museum.
Try your luck at Connecticut's casinos: Foxwoods and Mohegan Sun.
Mystic, CT is a great little town with lots of things to do. We spent a weekend here earlier this year and loved all the restaurants and the cute downtown. We also enjoyed the aquarium and a winery nearby.