Here's a list of fun things and good places that I have found in my exploration of Martha's Vineyard.  If you come across any, please email me, or write them down in the "house diary" found on the kitchen counter.

Beaches:

bulletSouth Beach (just a few minutes from the house)
bulletSouth Beach (via 4-wheel drive, requires over-sand pass)
bulletEast Beach (via 4-wheel drive)
bulletState Beach (no waves)
bulletMenemsha (jetty, view, nice)
bulletEdgartown Lighthouse Beach

Restaurants:

bulletBeach Plum Inn (very expensive, my favorite)
bulletThe Newes (pub food for lunch, dinner)
bulletDock Street Coffee Shop (breakfast)
bulletSquare Rigger (dinner, Edgartown)

Sunsets:

bulletAquinnah (formerly Gay Head)
bulletMenemsha

Hiking

bulletState Forest Trails
bulletMy Toi on Chappaquidick

Biking:

bulletState Forest Trails

Kayaking:

bulletEdgartown Great Pond
bulletTisbury Great Pond
bulletEdgartown Harbor

Fishing:

bulletWasque at dawn
bulletMenemsha anytime

Misc:

bulletTake the Cape Pogue over-sand tour to the Cape Pogue Lighthouse