It would be great to have an implementation of faceted search integrated in MediaSearch that uses Structured Data on Commons. Faceted search is a common design pattern on many websites, including prominent e-commerce ones, so it is certainly something the broad public is acquainted with.
By the time of creating this ticket (mid 2023), StructuredDataOnCommons has been deployed for a while, and community data modeling guidelines are becoming more established. The Wikimedia Commons and SDC communities can be consulted on which (structured data statements based) facets make sense to include.