Il Cortille and Ferrara Bakery in little Italy were both very good. Little Italy is kinda touristy but the right spots are amazing. It's fun.
John's of Bleaker was awesome. Get a simple pizza, cheese or pepperoni. Line but we only waited about 20 minutes for a table. The people in front of us lived about a mile from us in austin so that was fun.
Venchi is a gelato spot next to Johns that we stumbled upon. It was bougie but very good. The line was out the door but moved quickly.
The Bagel Market was right by our hotel (near grand central) and where we got breakfast each day. It was good and convenient. Not sure if it was the best but better than what we have in Texas!