If you're willing to venture to the eastern part of the state and the coast, there's old mystic village, the mystic seaport. And downtown mystic is very nice. Mohegan's Comix club is pretty fun too, the comedians are great and many are there for several weeks at a time. Gay city state park in Glastonbury is great for hiking and bringing doggos if you have one. Mansfield Hollow and the Airline trail are very nice too.