I get the feeling, from left to right, it is...

Monk, Casters, Healers, Ninja, Ranged, Dragoon, Tanks.

I somehow do not think that ninjas would wear white boots while leaving monks with the darker set, indicating that the roeg is monk and the cat girl is ninja.

The hyur girl and the lala are obviously caster and healer respectively given that they have a history of sharing the same set with differing colours. (Lol at all the ranged hoping this is their set)

Dragoon and tanks are pretty obvious. Which leaves the au ra in the long tattered coat as the Bard / Machinist.