Here's a statue in a convent in Myerling:
There were really neat cabinets in the convent with incredibly detailed carvings on them:
and this was on the ceiling in one room.
Here's where Leon Trostky hung out.
The movie The Third Man has a scene where Cotton and Welles go up on a ferris wheel and look down on humanity. Here's a shot of the ferris wheel that was used.
Vienna has some lovely buildings, like its National Library.
