Here is the full list of all 23 Toy Tactics achievements.
You have completed the spells tutorial
You have bought your first spell
You have completed the draw formations tutorial
You have opened a chest for the first time
You have completed the drag formations tutorial
Find the golden sheep behind the cascade at "The Four Towers" level. She is next to a bonfire with flowers.
Pet any animal for the first time
Unlock Kyoukai campaign
Unlock Pendragon campaign
You have killed 1000 units
Unlock Freebooters campaign
Unlock Draugr campaign
Unlock all spells
Find all blessings
Play sandbox mode for the first time
Complete each puzzle in puzzles mode
Complete each level in mercenaries mode