Here is the full list of all 37 Microcivilization achievements.
Finish Level 20 of The Babel Tower
Defeat 1,000 Crises
Finish Level 15 of The Babel Tower
Finish Level 10 of The Babel Tower
Win the Babel Tower Scenario
Unlock all Ascensions
Own 8 Villages
Own 8 Forests
Win the World War
Unlock Modern Era
Defeat the Great Smog
Click the Main Button 50,000 times
Unlock Industrial Era
Own 3 Quarries
Have 100,000 Population
Own 3 Forests
Own 3 Farmlands
Overcome the Great Revolution
Have 10,000 Population
Defeat 100 Crises
Defeat the Great Plague
Have 3 Village Tiles
Unlock Renaissance Era
Unlock Medieval Era
Defeat The Slave Revolt
Click the Main Button 5,000 times
Have 1,000 Population
Defeat 10 Crises
Unlock Classical Era
Overcome The Neolithic Revolution
Click the Main Button 1,000 times
Defeat 1 Crisis
Have 50 Population
Click the Main Button 100 times
Own 8 Farmlands
Own 8 Quarries
Have 10 Activated Pyramids