I arrived for the first time in the Big Apple for the marathon in 2009.
New York is a strange city. Seems to have seen it all before you get there because many places already have them on film.
This does not necessarily make you lose charm but will need to go to discover things "minor." Some points "historics" will be seen. Central Park or the Empire State Building are inevitable as is the Brooklyn Bridge.
It must therefore look for something else. Do the baby sitter in Central Park, talking with the kids who skattinano or the rabbi on duty in front of the Empire, or walk across the Brooklyn Bridge on foot in the middle of two lanes, it can make something unique. And in fact to fascinate me were mostly little things to do. B & H (one of the camera stores in the world) and all his clerks of Jewish origin, the empty streets of DUMBO (Down Under Manhattan Bridge Overpass), the overpass subway you are going to use as a public park instead break down it. And visited his people. Stop in the Bronx to see a Mass gospel and follow the ladies "well-dressed" as they prepare to meet the Lord, go to the bar to see a baseball game (in my presence the local team won the 27th title) or follow the children for Halloween, or go for two throws at the basket on a field or go to English class for Hispanics.
Be careful. Everything is so big that you have to take it very slowly or overwhelm you. Place to go and come back.