GW2 : Mesmer Skills

https://wiki.guildwars2.com/wiki/List_of_mesmer_skills

Mesmer - Mage with borderline Warlock abilities

Illusionary Wave - Push back all foes in front of you with a wave of magical energy
Spatial Surge - Shoot a beam at your foe. The farther away they are, the more damage you deal.
Mirror Blade - Throw an illusionary greatsword that bounces between targets. Spectral Throw.
Phantasmal Berserker - Create a phantasm that uses a whirling attack to damage and cripple foes.
Chaos Armor
Chaos Storm

WoW : Mage Skills

http://wowwiki.wikia.com/wiki/Mage_abilities/

Core abilities
Arcane abilities
Fire abilities
Frost abilities

purpose: direct damage, area of effect damage, and utility

Fire - heavily damaging an opponent

Frost / Cold - weaker, innate snare/chill, control

Arcane - utilities, support

Core:

Fire Ball - 40 yard - 2 sec - no cd - big ball of fire - basic skill

Fire Blast - 30 yard - instant - 10 sec cd - basic instant cast big mana medium damage

Frost Bolt - 35 yard - 2.5 sec cast - no cd - 5sec chill

Frost Nova - freeze for 3 sec, immobilize for 5 sec

Cone of Cold - aoe chill 8 sec

Arcane Missile - 3 sec channel - 40 yard

Arcane Blast - 2 sec cast, empower Arcane spells

Ice Lance

Scorch

Utilities :

Spell Steal

Conjure Food / Drink

Polymorph

Arcane Brilliance

Slow Fall

Remove Curse

Evocation

Medium level Core skills:

Blizzard

Flame Strike

Arcane Explosion

Frostfire Bolt

Magic Armor :

Arcane Armor 

Molten Armor

Frost Armor

--

Mana Shield - mana over life

Magic Ward - absorb fire, frost, arcane damage

Ice Block

Protection :

Ice Block

Mirror Image

Invisibility

Blink

Counterspell

High Level shits :

Flame Orbs

Teleportations / mass tele

Ring of Frost

Time Warp

Another bullshits : 

Spec into Arcane, gained enlightenment into Mesmerizer of GW2