Here is the full list of all 87 March of Empires achievements.
Reach Champion Level 10
Win a Battle
Complete 5 Adventures
Train 20 Tier-I Siege Units
Train 20 Tier-I Spearmen Units
Train 20 Tier-I Cavalry Units
Train 20 Tier-I Ranged Units
Produce 20 Tier-I Defenses
Play the Lottery
Research a Tech
Join an Alliance
Train 20 Tier-I Swordsmen Units
Upgrade a Farm to Max level
Upgrade a Lumber Mill to Max level
Upgrade a Iron Mine to Max level
Upgrade a House to Max level
Upgrade the Stronghold to Max level
Upgrade a Barracks to Max level
Upgrade a Workshop to Max level
Upgrade the Temple to Max level
Upgrade the Embassy to Max level
Upgrade the Arena to Max level
Upgrade the Wall to Max level
Upgrade the Academy to Max level
Upgrade the Tavern to Max level
Upgrade the Dungeon to Max level
Train 10,000 Tier-I Swordsmen Units
Train 10,000 Tier-II Swordsmen Units
Train 10,000 Tier-III Swordsmen Units
Train 10,000 Tier-IV Swordsmen Units
Train 10,000 Tier-V Swordsmen Units
Train 10,000 Tier-I Spearmen Units
Train 10,000 Tier-II Spearmen Units
Train 10,000 Tier-III Spearmen Units
Train 10,000 Tier-IV Spearmen Units
Train 10,000 Tier-V Spearmen Units
Train 10,000 Tier-I Cavalry Units
Train 10,000 Tier-II Cavalry Units
Train 10,000 Tier-III Cavalry Units
Train 10,000 Tier-IV Cavalry Units
Train 10,000 Tier-V Cavalry Units
Train 10,000 Tier-I Ranged Units
Train 10,000 Tier-II Ranged Units
Train 10,000 Tier-III Ranged Units
Train 10,000 Tier-IV Ranged Units
Train 10,000 Tier-V Ranged Units
Train 10,000 Tier-I Siege Units
Train 10,000 Tier-II Siege Units
Train 10,000 Tier-III Siege Units
Train 10,000 Tier-IV Siege Units
Train 10,000 Tier-V Siege Units
Produce 10,000 Tier-I Defenses
Produce 10,000 Tier-II Defenses
Produce 10,000 Tier-III Defenses
Produce 10,000 Tier-IV Defenses
Produce 10,000 Tier-V Defenses
Reach Champion Level 20
Reach Champion Level 30
Reach Champion Level 40
Reach Champion Level 50
Reach Champion Level 60
Reach Champion Level 70
Win 500 Battles
Scout an Enemy
Gather 10,000 Resources from Resource Tiles
Gather 50,000,000 Resources from Resource Tiles
Gather 1,000,000,000 Resources from Resource Tiles
Make a Trade Deal with a Trading Post
Make 500 Trade Deals with Trading Posts
Research 10 Techs from Era I
Research 30 Techs from Era II
Research 30 Techs from Era III
Research 30 Techs from Era IV
Research 30 Techs from Era V
Complete 1,000 Adventures
Play the Lottery 100 Times
Kill 1,000,000 Enemy Units
Become the Emperor of a Realm
Help Alliance Members 100 Times
Defeat 500 Encounters
Defeat 10,000 Encounters
Win 10 Tournament Matches
Win an Atlantis Event
Upgrade a Stone Quarry to Max level
Upgrade the Storehouse to Max level
Upgrade the Scout Tower to Max level
Upgrade the Royal Barracks to Max level