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.
Coney Island is the best for everything - the beach, the rides, the beer - but mostly for the Skee Ball. It's incredibly addicting, affordable and satisfying (depending on your aim).