Block Island Grocery (or “B-I-G” as the locals say) sells a wide selection of beer, wine and liquor, as well as groceries, produce, ice cream, newspapers and other sundries. BIG features the best deli sandwiches on the island and a butcher shop where you can pick up a great steak or some ribs to throw on the grill. Fresh local seafood is always in stock. ATM. Plentiful parking for customers..