Here is the full list of all 29 Battle Sweeper achievements.
Reach level 20 with the Knight
Reach level 15 with the Knight
Reach level 10 with the Knight
Reach level 5 with the Knight
Reach level 20 with the Wizard
Reach level 15 with the Wizard
Reach level 10 with the Wizard
Reach level 5 with the Wizard
Reach level 20 in Classic Mode
Reach level 15 in Classic Mode
Reach level 10 in Classic Mode
Reach level 5 in Classic Mode
Reach level 20 with the Lizard
Reach level 15 with the Lizard
Drink 10 Potions
Reach level 10 with the Lizard
Reach level 5 with the Lizard
Drink 5 Potions
Reach level 20 with the Rogue
Reach level 15 with the Rogue
Kill 20 monsters
Kill 15 monsters
Kill 10 monsters
Kill 5 monsters
Reach level 10 with the Rogue
Drink a Potion
Reach level 5 with the Rogue
Kill a monster
Finish a level without fighting any monsters