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.
Roll N Roaster is a fast food place in Sheepshead Bay that has been open since 1971. Get the roast beef sandwich with cheese and a bottle of Moet champagne (not joking).
After the full moon, when the tide is the lowest, you'll find a century of fossils from a gone NY, trails of washed-out rainbow colored bottles, a graffitied shipwreck buried by time. Hundreds of years of history written in the sand.