The Bronx Botanical Garden is a place my father and I have been going to since I was a child. Here's a photograph I took of him here. It has hundreds of species of trees and flowers. Sitting in the middle of the Bronx, it's most recognizable as a green oasis from the grays and concrete of city life.
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).
The operators of the Peter Pan bakery make the best donuts I've ever tasted. This place is charming to its core. Decor and presentation: circa 1971 & virtually unchanged since.