Here is the full list of all 17 Grow Defense achievements.
Finger Bang the screen over 100000 times
Max 5 Legendary Items
Defeat 5 Unique Mega Bosses
Reach Mastery Level 3
Max an Items Level
Complete 10 researches
Find your first legendary item!
Max out Rockets for the Rocket Launcher.
Complete round 200
Reach Experience Level 40
Destroy your first Mega Boss
Complete your first research
Have 1 million gold in your pouch
Stock up over 50 gems
Fingerbang the screen over 100 times
Unlock the mage tower.
Defeat The First Boss.