Templar: One upping the Lumies.

Illuminati: Money/power and gaining more of it. (Seriously, the amount of time that Lumies control Fusang is overboard.)

Dragon: Understanding Chaos and the Underlying order of it. Watching the mess caused by the Blues and Reds bickering.

Phoenicians: Money.

Orochi: To “better” the world.

Venetians: Make sure the other factions don’t inadvertently destroy the world or cause the muggles to panic because magic is real.