Here are some of the traditional Coffee houses in Vienna (in alphabetical order):
Café Central
Café Demel
Café Griensteindl
Café Hawelka
Café Landtmann
Café Mozart
Café Museum
Café Prückel
Café Sacher
Café Schwarzenberg
more information on Vienna's Cafés (the above mentioned coffee houses)
Other coffee houses: 31 extraordinary Cafés (for coffee lovers)