mnemonick said^ what he said minus the architecture bit...
I did the Broadway hike from Harlem to Battery Park in a day in 1998. I also visited New York in 1995 and 1978.
Apart from boarding a ferry to The Statue of Liberty from Battery Park (profile pic), in Manhattan I enjoyed the varied scenery of Central Park (Turtle Pond is nice, at the foot of Belvedere Castle), walked along the elevated foot-way along Brooklyn Bridge and visited Brooklyn itself, a city in its own right, which was quite different from the skyline of Manhattan. In my day, the Twin Towers of the World Trade Center dominated the East River, over which the Brooklyn Bridge crossed.
At the opposite end, at the Bronx, I spent the day at the Botanical Gardens, next to New York Zoo.
The only museum I visited was the American Museum of Natural History, on the West side of Central Park, which if I recall, has its own subway stop. This Museum is not only the largest in America, but I believe, in the world.
As for architecture, sure, in my opinion, New York is a forest of skyscrapers and therefore low on my list of beautiful cities. London, which is near to where I live, has many buildings with ornate columns capped with Corinthian and Roman capitals supporting Roman style pediments. In New York I recall only one building like this, the New York Stock Exchange near Battery Park.
Europe has some of the most historic and beautiful cities in the world.