Fantasy Downtime

What a character does in their downtime or might do when they next get some [fantasy] [adventurers]

Work against an existing rival
Share what you've learnt from adventuring with the community
Try to start out a new cult in town
Research foes your group want to hunt down
Spend time looking for potential buyers and sellers of magic items
Interview locals to use as hirelings for the next adventure
Learn a language of no use to you
Insist on group training sessions to prepare for dangerous situations
Go on a epic binge of hedonism you will remember for the rest of your life
Pay for information about the activities of an existing rival