Up the Mt. Wuerttemberg is the tomb of the late king and queen of Wuerttemberg.
In Degerloch, another suburb is the TV tower which was the first modern TV tower on the globe built back in 1956. It's still the landmark of the area.
The Solitude Castle with its beautiful lawns will provide you a nice place for a meeting in the exclusive restaurant. If you like horse back riding that's one place to go as well.
A not to be missed is of course the Staatsgallerie which contains one of the most important art collections of the world.
A visit of the Lindenmuseum which contains artefacts from exotic countries around the world will be worthwhile. Especially the collection of Papua New Guinea is unique.