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