A great itinerary for a visit to New York City could include:

Day 1:

• Visit the Empire State Building and take in the views of the city

• Walk through Central Park and stop at Bethesda Fountain and Terrace

• Explore the Metropolitan Museum of Art

• Shop and dine in the trendy neighborhoods of SoHo and Greenwich Village

Day 2:

• Start at the 9/11 Memorial & Museum

• Visit the One World Trade Center

• Explore the Battery Park and take a ferry to the Statue of Liberty and Ellis Island

• Take a stroll through the bustling neighborhoods of Chinatown and Little Italy

Day 3:

• Visit the American Museum of Natural History

• Explore the uptown neighborhood of Harlem and visit the Apollo Theater

• Walk across the Brooklyn Bridge and enjoy views of the city from Brooklyn

• Visit the Brooklyn Museum and Prospect Park

Day 4:

• Take a tour of the United Nations headquarters

• Explore the Lower East Side and visit the Tenement Museum

• Walk through the bustling Greenwich Village and stop by Washington Square Park

• Enjoy a show on Broadway in the evening

This itinerary can be customized based on individual interests and time constraints. There are many other popular attractions and neighborhoods in New York City such as the High Line, Times Square, Museum of Modern Art, and more that can also be added to the itinerary.