Here is the full list of all 10 Last Mage Standing achievements.
Kill 20 enemies without being damaged.
Create 10 big fireballs.
Kill 10 enemies.
Kill 1000 enemies.
Kill 10000 enemies.
Kill 20 enemies with melee weapons.
Kill 40 enemies with melee weapons.
Kill 100 enemies with melee weapons.
Survive for 10 minutes.
Kill 100 enemies.