My mothers family is from Hungary and when we went to visit relatives in '87, the 2 hilights I remember were the Baths at the Gellert hotel and the flower gardens on Margitsziget or Margaret Island. There are many other tourist sites to see such as Fisherman's bastion and a number of museums, which are probably in your guide books. I was there in the summer before the Berlin wall came down later that year. I don't know how much things have changed since then. Hungary is known for it's baths though so you should at least take a look. Some are quite beautiful.