City Island is a seaside town in the Bronx. Known for its fishing, seafood, and main street it is a self-contained working-class haven. The buildings range from late 1800's houses to 1960's storefronts, and you can smell the ocean everywhere on the island. Restaurants and local pubs dot City Island Ave, and even the few empty storefronts stay vibrant.
I'm a huge Japanophile: if there's one other place I'd like to live, it's Tokyo. I must have been there seven or eight times, most recently just after the Tohoku earthquake and tsunami. Anyway, EN is a gem on Hudson Street, serving real Japanese cuisine. It turns out that EN is a chain in Japan; there are a lot of branches making lovely bosky food in cosy neighbourhood locations. But their New York incarnation is grand in scale and ambition, with solid, warm interiors (not unlike if the Whitney were a Japanese restaurant, oddly) - a remarkable hybrid of this city, and the other one that I'd love to live in.
Luhring Augustine did a good job of converting an old warehouse/storage facility into a blue chip commercial art gallery that stages four shows of contemporary art per year. Which means you can catch museum quality shows in an unlikely spot, away from all the Chelsea pomp, and it actually has friendly staff, instead of a cold gallerina sat behind a desk pretending to be on the phone.
A place for when you only have a day and your soul needs the smell of an ocean breeze and to feel sand between your toes. You can watch all the craziness of Coney Island from across the water.