Hungarian gastronomy is great. You will find perkelt, "gnocchi", langos, halaszlé, goulash and specialties from goose, duck, sea creatures or even "soups" in a paper cup. It's worth trying.
Ezstergom, a Hungarian city on a southern bank of Danube, connected to Slovakia's Štúrovo by a historical bridge of Maria Valeria from 1895. Ezstergom's old city streets are charming, but the most well known is its basilica atop the hill and a palace owned by Ezsterhazy family, now a museum.
Visegrad is a small Hungarian city often mentioned in the history. A castle from 4th century atop the hill offers magnificent views of river Danube.