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