Very yummy pork dumplings and Shanghai rice cakes great you at Din Tai Fung. But very long wait times and food on the oily side are a major turn off of this restaurant.
A small very busy sushi restaurant, just North-East of the tourist filled Astronomical Clock. It's definitely recommended if you're wanting something different from the local fare and isn't too far out of the way.
The Great Market Hall features many souvenir shops and local fare fast food restaurants. I really enjoyed the goulash and wished I had time to try other foods here,
A great pizzeria in Budapest that should be one of your top choices. They don’t top pizza in Italy but still worth it. Plus they’re open really late, fast, and cheap.