NG++ Classes

Black Knight - Defeat the Black Knight in the Tower of Babil
Samurai - Defeat Odin, required for the story
Gambler - Roll 3 7s on the slots in Toroia
Hunter - Defeat Jumbo Cactuar, on the Cactuar Desert Island
Blue Mage - Defeat Gilgamesh on his ship
Red Mage - Finish off form 3 of Zeromus with ?????
Time Mage - Steal the Time Shard key item from Gilgamesh and exchange it along with 9999999 GP to the NPC in Mysidia
Alchemist - Defeat Bahamut
Dancer - Defeat Calcabrena, required by the story
Sword Saint - Defeat cameo boss #1 in the extra dungeon
Gladiator - Defeat Omega in the Ordeals Shrine.