Just a quick recommendation.
My children and I picked a VAT of blueberries yesterday at Dzen (pronounced "zen") Blueberry Farm in S. Windsor, Connecticut. The bushes are literally bursting with berries, even though it's now considered the tail end of the season.
If you're looking for a fun activity that's quintessentially New England in flavor, consider hitting a local farm and picking blueberries (or whatever!) to your heart's content.