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