...and the Cafe Demel whose interior has to be seen! (try their demel sachertorte to compare with the Hotel Sacher's version - there was a long legal dispute with the Hotel Sacher over who invented the torte. Demel's has no apricot jam in it).

Demel

If you are into art the Kunsthistorisches and the Belvedere have amazing collections. And take a tram ride round the Ringstrasse - a good way to see the city architecture.