At the monastery in Klosterneuburg there is, apparently, a pole-style sundial dating from the mid-fifteenth century. Another sundial from the late sixteenth century adorns the side of a building.
There are sundials all over Vienna. Tourists typically miss the one at the end of Stephans Dom in the center of the city because it is on the back of the cathedral avoided by most people. By contrast, many people do see the sundial and clock on the Hofburg, on the Amalienburg wing. The orb above the clock indicates the phases of the moon. Tour guides in Vienna typically attribute this sundial to Tycho Brahe (I have not bothered to confirm or disconfirm that claim—I merely report it).