Ludwigsburg: The City of Ludwigsburg with its beautiful baroque marketplace (2,8km - 8 min. by bike), the residential palace (2,5km - 7 min. by bike), the fairy garden (perfect for children), monrepos palace, favorite parc with favorite palace, and beautiful nature with the Neckar-valley (have a walk or enjoy neckar shipping)
At weekends there are often great events in Ludwigsburg: international festivals like the "Venezianische Messe", or the "Schlossfestspiele Ludwigsburg"
Of course you can also do sports here for example swimming in the Stadionbad/stadium pool (in and outdoor) or outdoor pool Hoheneck and Eishalle (ice rink - open all year round!)

Enjoy the official video: https://www.youtube.com/watch?v=qtEk2SXNlQA

Not far is the City of Stuttgart (12 km - 16 min. with S-Bahn) with many museums, the opera and the zoo "wilhelma"

Do a daytrip to: Heidelberg, Tübingen, Karlsruhe or Mannheim

Die Ludwigsburger Innenstadt mit dem wunderschönen barocken Marktplatz, das barocke Ludwigsburger Residenzschloss, der Märchengarten und das Blühende Barock, Seeschloss Monrepos, etc.
Die Landeshauptstadt Stuttgart mit vielen Museen und der Wilhelma
weitere nette Städte, die super mit dem Zug erreichbar sind für Tagesauflüge:
z.B. Heidelberg, Tübingen, Karlsruhe, Mannheim