This Museum Mile kaffeehaus is so authentic it may as well be set along Vienna’s Ringstrasse. Instead, find it in a Beaux Arts mansion—home to the Neue Galerie, replete with 20th-century Austrian-and-German art and design. This gorgeous ground-floor den is clad in dark-stained wood with diners seated along a banquette covered in Otto Wagner fabric. Order one of the traditional specialties, including the city’s best wiener schnitzel or hearty Hungarian beef goulash, but it's the cakes and pastries that are the stuff of dreams. Linzer torte and Sachertorte are as classic as they are extraordinary. Feuilletine may be described as a chocolate mousse cake but it is anything but simple with its luscious, well-executed layers.