To have the best lunches like a 'fried peanut butter sandwich', lounge or book a room for a few days in the heart of the city, visit 'The Ace Hotel'. Ease down in the couches, order a Brooklyn Beer and relax. A great place to meet up.
Coney Island is the best for everything - the beach, the rides, the beer - but mostly for the Skee Ball. It's incredibly addicting, affordable and satisfying (depending on your aim).