Well, NYC has a lot of cool places to go to. I slept at a hotel at the border of harlem and manhattan. Strange to see the contrast between really poor and average/wealthy. I loved greenwich village, soho, china town, little italy, queens(near NYC), times square, central park, grand central and all the nice museums and art. There's so much to see, i can't really say what you should or shouldn't miss. It's all about the experience. The people dancing on the streets, the nice architecture etc. I don't know how long you'd like to go, but it's wise to have a plan before going to NYC. Get some info etc.