In New Haven, just a few miles down the road, you have Yale University. If you are into museums check out the Peobody Museum of Natural History and the Yale Art Museum.
If you like Theater try the Long Wharf Theater just off I95 on New Haven Harbor and the Yale Reperatory Theater.
Also on the harbor are replicas of two tall ships. One is the slave ship Amisatad.
For nightlife there are a bunch of clubs in New Haven, including Toad's Place that has a national reputation.
Down I95, about 60 miles are two Indian Casinos, Foxwoods [Peqout Nation] and Mohegan Sun [Mohegan Nation] with world class entertainment.
Hope I didn't give you too many options