What are the "must-see" places in NYC?

We're planning a weekend trip to the city and there's so much stuff we want to do. Obviously we would love to hit all the museums, the zoos, the aquarium, and the touristy spots. However, I know there's no way we can see all these places in a weekend trip. So, in your opinion what are the... show more We're planning a weekend trip to the city and there's so much stuff we want to do. Obviously we would love to hit all the museums, the zoos, the aquarium, and the touristy spots. However, I know there's no way we can see all these places in a weekend trip.
So, in your opinion what are the "must-see" places in the city? Feel free to suggest anything off the beaten path too, I love unique experiences and odd places!
Also, restaurant suggestions would be much appreciated.
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