Right across the river is New York City! With easy access via the PATH trains, or a short drive through the Holland Tunnel, the entirety of the island of Manhattan is at your disposal.
Good drinks, and great games! I highly recommend Daytona USA, Crazy Taxi, NBA Jam, and (bear with me) Fire Truck. Make sure to bring your ID!
Beautiful, spacious park with a playground, ballfields, and a larger nature walk further back through the marshlands.
An even larger park, right in view of the New York City skyline over the water!