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