Play a Few Rounds of Mini Golf
A classic, obviously. Mini golf has always been, and always will be, the perfect date-y balance of friendly competition without strenuous physical exertion. It is one of the only games I actively like, and also, an easy thing to talk about if your conversation hits a weird lull. So! You can go hardcore and make a day trip to the Brooklyn Golf Center, or you can roll it into another a trip to Brooklyn Crab or Bushwick Country Club, both of which have courses, and also drinks.