I highly doubt that you've already designed 160 skills to go with your new system.
See, the beauty of this system is that I need only design 3 skills for each tree(the ones you pick from when you start), and the rest of them practically designs itself, since it's just a mixture of <skill 1> with <trait B>, with an occasional upgrade to account for higher mastery.
But just to entertain your original query:
Aerothurge:
Blinding Radiance - Charisma + Elementalism(it's an AoE Debuff)
Electric Discharge - Elementalism(it's a spell that can electrify puddles and clouds)
Favourable Wind - Tactics + Charisma(it's an aura that boosts mobility)
Shocking Touch - Elementalism + Shapeshifting(it's a spell that'll electrify surfaces/clouds the target is standing in, and transforms your touch into electricity)
Teleportation - Tactics + Summoning(it's a spell that moves another entity)
Geomancer:
Fortify - Rejuvenation(it restores and boosts armor)
Fossil Strike - Elementalism(it's a spell that creates a surface)
Magical Poison Dart - Cruelty + Elementalism(it's a poison dart that interacts with surfaces)
Contamination - Elementalism + Cruelty(it's a spell that turns relevant surfaces to poison)
Impalement - Elementalism + Charisma(it's a spell that creates surfaces and impairs enemies in a large area)
Acid Spores - Elementalism + Cruelty(it's a poison spell that creates surfaces)
Huntsman:
First Aid - Rejuvenation(it restores health and removes impairments)
Mark - Tactics(it marks an enemy and denies them positioning benefits)
Marksman's Fang/Ricochet/Arrow Spray - Marksmanship(they are all special bow attacks)
Snipe - Marksmanship + Assassination(It's a special bow attack that benefits from stealth)
Tactical Retreat - Tactics(it's a purely positioning move)
Hydrosophist:
Armour of Frost - Rejuvenation(it restores and boosts magic armor)
Global Cooling/Hail Strike/Rain/Winterblast - Elementalism(all create surfaces in an area)
Healing Ritual/Restoration - Rejuvenation(both restore Vitality)
Steam Lance - Elementalism + Rejuvenation(it's an area attack spell that heals allies)
Necromancer:
Blood Sucker - Vampirism(it's an ability that interacts with Blood pools)
Decaying Touch - Cruelty + Rejuvenation(it's an ability that turns Regeneration effects into DoT effects)
Infect - Cruelty + Elementalism(it's an ability that turns surfaces to poison)
Mosquito Swarm/Rain of Blood - Vampirism + Cruelty(both abilities cause bleeding, while stealing Vitality/creating a Blood surface)
Shackles of Pain - Cruelty + Tactics(it's an ability that marks an enemy making them receive damage)
Pyrokinetic:
Burn My Eyes - Charisma(it boosts an ally)
Haste - Tactics + Charisma(it boosts an ally's mobility)
Fireball/Ignition/Infectious Flame/Searing Daggers/Spontaneous Combustion - Elementalism + Cruelty(they all cause elemental damage in an area and set Burning to enemies)
Fireblood - Elementalism + Vampirism(it creates fire surfaces and makes bleeding cause further fire surfaces)
Summon Flaming Totem - Summoning + Elementalism(summons a creature that strongly interacts with elemental surfaces)
Scoundrel:
Adrenaline - Tactics + Rejuvenation(it's a self buff restores AP)
Chloroform - Assassination(it's an ability that doesn't break Stealth)
Cloak and Dagger - Tactics + Assassination(it's a movement ability that doesn't break Stealth)
Levitate/Vault - Tactics(both are abilities that help with positioning)
Mortal Blow - Assassination + Warfare(it's a Melee strike best used from Stealth)
Sawtooth Knife - Cruelty + Warfare(it causes Bleeding via a Melee strike)
Throwing Knife - Tactics(it's an attack that benefits from positioning, but otherwise isn't strictly beholden to any other category)
Walk in Shadows - Assassination(it sets Invisibility on the user)
Warfare:
Battering Ram - Tactics(it's a combat ability that primarily moves the user)
Battle Stomp - Warfare + Elementalism(it uses a melee weapon to clear surfaces)
Blitz Attack/Crippling Blow/Overpower - Warfare(they are all special melee weapon attacks)
Phoenix Dive - Elementalism + Tactics(it's a mobility skill that creates elemental surfaces)
Rage - Charisma + Tactics(it's a buff that boosts combat power and mobility)
Since it's pretty late as I post this and it's already a long post as it is, I'll leave my ideas as to what the proper suggested abilities for the new system would be for another time.
Just a note, do I understand correctly that when you get better skill then older is replaced ?
No, you keep them all. If you want to just fill your bar with 5-6 versions of "throw a sharp object" that's an option too. Great for immersive role-playing.