Must See and Do things in NYC

I have never been and I am going for 3.5 days in August. Help me out! I love seeing the really touristy stuff AND eating delicious food.
  1. See the Statue of Liberty
  2. Empire State Building
  3. Central Park
  4. National September 11 Memorial and Museum
  5. Sea Glass Carousel in Battery Park
    Suggested by   @kiraandlulu
  6. Museum of Modern Art
    Suggested by   @kiraandlulu
  7. Just go get lost in the West Village and explore! You'll lose your mind over all the gelato, cupcake, and coffee places
    Suggested by   @dudleyjoshua