Using your theme and aesthetic-logic, my list is (in no particular order):

Lawful: Paladin, Gunbreaker, Monk, Dragoon, Samurai, White Mage, Scholar

Neutral: Bard, Machinist, Dancer, Summoner, Red Mage, Astrologian

Chaotic: Warrior, Dark Knight, Ninja, Black Mage, Blue Mage