My husband and I stayed at the Burg in December 2008, for a 4-day get away. We picked this hotel based on Tripadvisor reviews and we made a great choice! The hotel is situated in a quite, romantic little square in the old Burg part of the city, right next to the St Matthias church. Fantastic location, provided you appreciate a romantic place to stay. We enjoyed our evening strolls around the hotel, and we had easy access to transportation to the Pest side of town, where you can find more activity (we were not bothered by the bus station in front of the hotel). All rooms have a nice view to the square, breakfast is ok (nothing fancy, just the basics), rooms are spacious. Our biggest plus is for the hotel staff - they were helpful and friendly throughout stay, but exceeded all our expectations at the end when they went out of their way to help us find alternative transportation back home due to an unexpected railway strike.
We enjoyed our stay and would go there again if in Budapest.