I'd argue that 1 isn't really it's own category. Or rather 2, 3, and 5 are all opportunities for skill challenges. Maybe even 6 in some instances as well.Modes of non-combat activity for our group roughly include:
1. The Skill Challenge (*see below)
2. The Haggling Scene (trade of goods)
3. The 10 ft. Pole Scene (exploring, trapfinding, puzzle-solving)
4. The Free Roleplaying Scene (where you communicate with NPCs so long as a skill challenge doesn't get in the way)
5. The Travel Scene (where you summate 5 days of uneventful travel)
6. The Downtime Scene (where you work out with the DM the basics of what your character is doing with their time off camera).

(Dungeons & Dragons)
Rulebook featuring "high magic" options, including a host of new spells.