Here is the full list of all 32 The Vox: Tower Defense achievements.
Reach Level 5
Reach Level 10
Reach Level 15
Reach Level 20
Reach Level 25
Reach Level 30
Prestige for the first time
Prestige 5 times
Have 10 thousand gold at a single time in a game
Have 100 thousand gold at a single time in a game
Upgrade a weapon
Completely upgrade a weapon in a game
Upgrade a unit
Completely upgrade a unit in a game
Survive to round 50 on 'Forest' on any difficulty
Survive to round 100 on 'Forest' on 'Hard' difficulty
Survive to round 50 on 'Desert' on any difficulty
Survive to round 100 on 'Desert' on 'Hard' difficulty
Survive to round 50 on 'Temple' on any difficulty
Survive to round 100 on 'Temple' on 'Hard' difficulty