Dating sims, raising sims, and other "social simulation" games. Common elements include stat management for the protagonist and turn-based schedule management. The stat systems can resemble other RPGs, but govern interactions beyond combat (or exclude distinct combat phases completely).
If there's titles I've missed, you can reach me at stepnix401(at)gmail(dot)com
probably closest to a traditional CRPG i want on this list
no demo or updates for the last few years