For a 2 year old... three words -> The Lego Store!
Also, if the little guy likes dinosaurs, the American Museum of Natural History should be a good spot. Maybe see "Night at the museum" before you go as it was based at the museum.
Getting into the actual Statue of Liberty might be tough as you need tickets and those tickets are typically sold out well in advance. As for seeing the Statue, take the Staten Island Ferry from Battery Park as it swings right by it and the ferry is free! Note there are three different types of ferries - one of them has an open air observation area where you can go outside and have a better view!
Also, if the little guy likes dinosaurs, the American Museum of Natural History should be a good spot. Maybe see "Night at the museum" before you go as it was based at the museum.
Getting into the actual Statue of Liberty might be tough as you need tickets and those tickets are typically sold out well in advance. As for seeing the Statue, take the Staten Island Ferry from Battery Park as it swings right by it and the ferry is free! Note there are three different types of ferries - one of them has an open air observation area where you can go outside and have a better view!