The Minster is a must see. If you see an American named Lisa working there, tell her I said hi! York Hog Roast does amazing filled rolls for carnivores. The Black Swan is a lovely pub. Jorvik Viking Centre is a bit cheesy, but kind of fun; however, I've never had to pay as my friend Katie (another American, if you see her say hi from me too!) has worked there for years, so no clue on the cost. Clifford's Tower is good, and a walk along the walls is a must. Have fun!