My Apologies if I duplicated anything said before:
Any Blast set: Palm Blast (single hand and Both hands), Forehead Blast (maybe hand towards forehead and a lean in), Chest blast (like the new clockwork guys), Maybe a Kinetic/sorcery style one where you collect the energy/fire/ice/ etc in front of you and it shoots out from there.
Elemental Weapons: Choose between sword/axe/mace/hammer for any of them. Options for no elemental weapons as stated before and for elemental weapons where there are none (ie: electric)
Teleport: One like Nightcrawler (puff of smoke/energy), one like the energy morph (the one where you spilt in to 4 or 5 shadows of yourself) emote but forward insted of to the sides,
Claws/Spines: any new animations would be great
Ice Armor: No specific idea but anything not have the ice blocks around you
Dual Pistols/Assault Rifle: non bullet visuals (sorry if that is not part of animation), lasers, rikti blasts, pulse weapon blasts etc
Rage: like the new boss (or large) ghouls have
Illusion Control: Phantom Army: would be nice if you could have phantom demons, undead, soldiers, etc to add some flavour to it.
Any of the original sets could use some newer animations.