The Statue of Liberty, the Empire State Building, Central Park, Broadway musicals - that's what usually comes to mind when discussing New York. Meanwhile, in almost any part of the city there is something interesting for tourists, you should only allow yourself to walk around without a strict plan.
For example, in Harlem you can visit the Jazz Museum and the Apollo Theater, where Ella Fitzgerald once sang and Stevie Wonder began his career. Famous museums on the Upper East Side include the Metropolitan Museum of Art, the Guggenheim Museum, the Whitney Museum, the Museum of Natural History, and the Children's Museum. The Upper West Side is the cultural center of New York, here are located the Metropolitan Opera, Philharmonic, City Opera, other theaters and concert venues. On Broadway, in the Times Square area, is the so-called "theater district" where you can enjoy the best musicals in the world.
You can get a bird's eye view of New York City from the observation deck of the Empire State Building, Rockefeller Center or the Statue of Liberty (accessible by ferry). Another original option is helicopter tours. The flight over the skyscrapers will cost you from 140 USD for 15 minutes, but the experience is worth the money.