If you are in need of a moment of solitude, this is the place. On my first visit I was in awe of how time seemed to stand still inside. It has now become a sanctuary from the city when I need the pace of life to slow down.
Part of the Marlow restaurant group, Diner is one of the more casual / rustic options. The menu changes daily and is written out (most likely upside down by the wait staff) on your table or the back of a receipt. The only constant item is the burger, which to be honest, is one of the best in the neighborhood. If they have a breakfast sandwich for brunch, get that. The fried chicken sandwich (with dark meat) is also a favorite. They make scrambled egg dishes better than most. Dinner is solid all around (they crush a steak for two). Homemade ketchup and dijon mustard are on every table, so regardless of what you get, these two condiments are worth the visit.
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.
Chuko has the best vegetarian ramen I've ever had. It's kind of ruined me for other types of Ramen. Favorite neighborhood spot with good people running it.