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