Here is the full list of all 38 Warhammer: Arcane Magic achievements.
Kill 3 or more monsters with a single spell
Complete the tutorial
Terrorize 3 or more creatures with a single spell
Kill a fully healed Giant in a single strike
Unlock a tier 5 spell
Complete Elven Ruins
Complete Chaos Wastes
Defeat Wurrzag Da Great Green Prophet
Defeat Teclis
Defeat Balthasar Gelt
Complete a Chapter in Chaos Wastes with a single Wizard
Kill a Greater Daemon with the Chaos Sorcerer Lord
Complete Elven Ruins with the Dark Elf Sorceress
Acquire all kill bonuses in Elven Ruins with a Wizard
Acquire all kill bonuses in Chaos Wastes with a Wizard
Own all available Scrolls
Own 25 Warpstones or more
Kill a Wizard with a bound Monster
Bind a Daemon
Your Wizard was killed by a falling Giant
Killed an allied Wizard
Bind 2 monsters in the same Arena
Complete an Arena without using any damage spells
Damage 4 creatures with Chain Lightning
Heal 3 Wizards with a single spell
Wizard killed by own Vortex
Vortex damaged 5 creatures in one move
Boost the Speed of a Wizard to reach an Arcane Fulcrum
Complete all Arenas in Chaos Wastes, Chapter 8 without entering any Arcane Fulcrums
Rolled 1 on the die 2 times in a row
Ended turn without using any power
Use a teleport spell to get out of the Lord of Change's spell range
Kill 5 Harpies with a single spell
Kill a Giant with the fall damage from another Giant
Watched the credits to the end
Started the game 30 days in a row
Revived the same Wizard 3 times in an Arena
Complete a Chapter without triggering all the Arenas