Acadia in Maine is lovely.
Lake Winnipesaukee, especially the town of Wolfeboro is a great spot for boating and enjoying the huge lake.
Stowe, Vermont is a nice ski area close to Burlington and offers good hiking options.
With that being said, Burlington is a funky town (lots of hipsters) with plenty to offer.
Even the North Shore of Massachusetts is lovely for some of the best seafood the US has to offer.