Metro North Railways offer several day trips from NYC. I took the trip to the Maritime Aquarium, Norwalk, Connecticut. http://web.mta.info/mnr/html/getaways/outbound_maritimeaquariumatnorwalk.htm
It's a short trip and enjoyable at a reasonable price. Not only is the aquarium worth the trip but there are some nice bars, restaurants, and stores to explore in the SONO area.