Paizo has revealed some 'downtime' activities you can engage in (some especially while on a starship), straight out of the upcoming Character Operations Manual.
- Manage Course (reduce journey length)
- Maintain Readiness (initiative bonus)
- Lounge (temp hit points and saving throw bonus)
- Drill (take 10 on tasks)
- Coordinate (covering and harrying fire bonuses)
- Build Shelter
- Carouse
- Practice Profession
- Secure Area