Here is the full list of all 13 QuestRun achievements.
One Quest done
Used 100 Specials
One hour spent with alternative stance
One Dungeon done
Desert Dungeon done
Played for one hour
100 Items used
1000 Monsters Killed
100 Waves of enemies beaten
10k Lost Health Points. Ouch !
Finish a Dungeon with a level 30 character
Killed 5000 Monsters
Played for 10 hours !