Demi
Stop (combo of bind and paralyze)
Float
Mute (Silencega)
Xfer
Lock (Lowers enemies Evasion, and only that)
Rub (sorta like death except it rubs out their existance)
Fear
Mini
Frog
Berserk
Barrier (reduces damage from special attacks: weapon skills/tp moves only)
Fog/Amnesia
Valor and Bravery
Sap (Like Poison but for MP)
Scathe/Scourge (non-elemental AoE)
Ruin/Comet
Disable (Like paralyze but no chance of doing anything)
Reflect
Vanish
Bleed
Old

There's a lot of spells they could use that aren't in the game yet.