Here is the full list of all 13 Witch's Reign achievements.
Win 3 levels in a row
Win 5 levels in a row
Win 10 levels in a row
Win 12 levels in a row
Win 16 levels in a row
Lose 3 times in a row
Lose 5 times in a row
Lose 10 times in a row
Lose 12 times in a row
Lose 16 times in a row
Kill 10 Monsters
Kill 20 Monsters
Kill 30 Monsters