If you are looking for an overdose of Austrian art you should visit the Leopold Museum. Here you will find the paintings and works of famous Austrian artists such as Egon Schiele, Gustav Klimt, Oskar Kokoschka, and Richard Gerstl.
The Leopold Museum has been open since 2001. For more information take a look at the homepage of the museum.
Leopold Museum Vienna
Museumsplatz 1, 1070 Wien