The Chelsea Market is filled with great restaurants and speciality food stores and pop up shops. I love stopping in and getting a gourmet grilled cheese from Lucy's Whey or a healthy juice from raw food restaurant One Lucky Duck, while shopping for dinner ingredients at the Italian market Buon Italia. For a great sit down restaurant, I love The Green Table, which serves great farm to table food.
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.