There is no cost to visit the castle complex, and you can wonder around most of the complex. The view of the river and the city from the castle is spectacular.
Budavári Palota – Buda Castle
Matthias Church dates back to the 13th-century, with the Fisherman’s bastion in the front.
The beautiful quad inside the castle, its also used as a live music venue.
Fisherman’s bastion, supposedly it was the inspiration for the Disney castle. Its a long flight of stairs up from the river (or you can cheat and take the elevator at the back of the castle complex).