The Staten Island ferry is free, round trip one hour, has excellent view of Statue of Liberty and the harbor. leaves from the southern tip of Manhattan. From there you can easily walk to such sites as the 9/11 memorial, Wall Street, Chinatown, and the South Street Seaport. Times Square is a sleazy tourist trap. Walk Fifth avenue from 42 to 59 Street doing window shopping. 59 Street is the southern border of Central Park, which includes the John Lennon memorial "Strawberry Fields", and a zoo; all free.