The most common mistake first-time visitors make in New York is zigzagging: the Statue of Liberty in the morning, Central Park at lunch, back downtown for dinner. Manhattan is only about 13 miles long, but crossing it at rush hour can eat an hour you'd rather spend on a rooftop or in a pizzeria.
This itinerary groups the big sights by neighborhood so each day flows naturally on foot, with short subway hops in between. Day one is Lower Manhattan and the harbor, day two is Midtown's skyline and Broadway, and day three slows down along the High Line and through the Village and SoHo. It's the plan our guides give their friends.