The Kaiser Franz Josef Museum is a local museum above Baden with collections on crafts, folk art, religious art, weapons, uniforms, and early photography. It is an old-fashioned museum in the best sense: varied, a little dense, and rooted in the town and region.
It pairs well with a walk into the Helenental or a longer stay in Baden after the Beethoven House and Kurpark. Check opening hours before climbing up, as smaller Austrian museums can keep limited schedules.