Here is the full list of all 15 One Troll Army achievements.
Survive at least 30 waves without losses at the Survival mission.
Complete all remaining quests.
Hire 30 mercenaries.
Kill the most powerful of the bosses.
Upgrade tower weapons to the maximum level.
Earn 10000 materials in total.
Improve all troll skills to the maximum level.
Kill 1000 enemies.
Spend 10000 gold on resources.
Upgrade goblins to the maximum level.
Upgrade all buildings and towers up to level 3.
Upgrade all buildings and towers up to level 2.
Earn 10000 coins in total.
Kill 100 enemies.
Complete all buildings and towers of the fortress.