There are a few breweries on Martha's Vineyard but...

There are a few breweries on Martha's Vineyard but this is hands down the one to visit. Offshore has a great variety of styles of beers, and they offer tasting flights, so if you're hesitant to commit to one you don't have to! They also offer food including fresh oysters. There is indoor and outdoor seating. The brewery is also close to other great locations so it's a perfect stop if you're in town.