Many of the noncombat subsystems from PF1 were updated in the Gamemastery Guide, and then incorporated into the Remaster's GM Core.

They have a reasonably in-depth Hexploration subsystem, a Research subsystem which can be used for investigation, an Influence subsystem to track more in-depth social encounters, subsystems for Chases, Heists, Duels, and for Creating your own organizations.

The links are all to the Archives of Nethys, a free, officially supported site that contains all of the rules. Take a look at them and see if they fit your play style.