Day 1
Lunch near the Met: Cafe Sabarsky in the Neue Galerie You don’t have to go into the museum to eat there. But I strongly urge you to visit the museum if only to see Gustav Klint’s magnificent painting Woman in Gold.
At Rockefeller Ctr. : Lodi
Re: Restaurants near Times Square. Since there are so many, you need to be more specific as to cuisine preference(s).