Dumbo, which stands for 'Down Under the Manhattan Bridge Overpass,' is a neat neighborhood in Brooklyn that is at an awesome vantage point of Manhattan. There are cool rocks on the shore of Brooklyn Bridge Park that are fun to relax on and sneak alcoholic beverages.
Chinatown in general, I've lived in chinatown on and off for my entire time in New York and i never tire of it’s textures, smells, artificial lighting and grime. There's some amazing things to happen upon there as you trek about your way, a true city experience. Love this little culture shop Aeon, gems of records, art and ephemera tucked away like most good things are.
The best way to enjoy Manhattan is from Brooklyn. Transmitter Park offers views without the crowds, and you can pick up coffee-to-go and treats from nearby Ovenly. The India St/Greenpoint Ferry is a 5 minute walk and will take you all the way to the Rockaways in the Summertime.
This is a great day-trip in the summer and early fall. The dunes make the beach feel secluded and the empty houses at the old army-base makes you feel like you’re in the middle of nowhere. Once we bathed there in late September during a combined picnic and photo shoot. It’s also a good little bike ride from the subway in Far Rockaway.