Here is the full list of all 48 Troll Patrol achievements.
Get a full set of rat armor and weapons.
Befriend a dog.
Finish your first patrol.
Lose at least ten tentacles when dying.
Unlock the thief class.
Improve your cave.
Retire from a patrol.
Survive a Wave without receiving any damage.
Remove all tiles at once.
Reach the first boss without killing an enemy. Why though?
Reach Wave 100.
Kill nine enemies with a single bomb.
Unlock the mage class.
Unlock the warrior class.
Unlock the adventurer class.
Get hit by five or more arrows at once.
Throw three axes at once.
Finish the Tutorial.
Reroll the offered powerups for the first time.
Break at least 3 frozen tiles in one swipe.
Have an enemy survive 40 turns.
Kill a Mimic.
Unlock twenty enemies.
Unlock all enemies!
Unlock five enemies.
Unlock your first enemy type.
Collect your first treasure chest.
Destroy a chest.
Use two chain tiles at the same time.
Destroy a diamond with a bomb.
Collect a diamond for the first time.
Kill an Earth Elemental with a bomb.
Bring a Black Knight down to 1 HP without killing him.
Deal at least 100 points of damage with one attack.
Get down to 1 HP and survive the next round.
Get hit by an enemy without getting any damage.
Flee when no enemy is near.
Destroy an active shieldwall.
Collect twenty tiles at once (without using a skill).
Killed by fire.
Gain a total of 10 armor.
Attack an enemy without dealing damage.
Collect a bunch of swords without hurting an enemy.
Kill an enemy with Spikes.
Collect healing potions while having full health.
As a mage get four wands.
Manage to save the gnome.
Unlock the Guardian class.