First In A Series

Morgan is a physical adept.
Reid is a hermetic mage.
Rossi is a cranky old shaman.
JJ is the face.
Hotch is the unwired PI-type.
Prentiss is a street samurai.
Garcia goes without saying.

Second In A Series

Morgan is a tempest fighter.
Reid is a wizard, again.
Rossi is a bravura warlord.
JJ is a Wisdom cleric.
Hotch is a paladin, probably Charisma-based.
Prentiss is a barbarian. (The State Department is Icewind Dale.)
Garcia is a telepathy psion.

(michele_blue did this one with me.)