Here is the full list of all 44 Age of Empires: Definitive Edition (Windows) achievements worth 1,250 gamerscore.
Advanced first to every age
Train 500 Horse Archers
Complete the First Punic War campaign
Complete the Enemies of Rome campaign
Complete the Imperium Romana campaign
Complete the Ave Caesar campaign
Complete the Rise of Rome campaign
Complete the Reign of the Hittites campaign
Complete the Yamato Empire of the Rising Sun campaign
Collected 50,000 food
Collected 50,000 wood
Win a random map without training any archery units
Complete the Voices of Babylon campaign
Train 400 Axemen
Build 50 Babylonian Towers
Convert an enemy Priest
Complete the Glory of Greece campaign
Defeat a Lion (Alpha)
Train 21 Centurions
Researched every technology available in a single game
Defeat 1000 enemy units
Complete the Ascent of Egypt learning campaign
Build 500 houses
Build 789 Shang wall segments
Destroy 200 temples
Hunt 250 animals
Build 500 heavy catapults
Create 1000 Choson Legions
Train 400 Assyrian Chariot Archers
Train 100 Minoan Composite Bowman
Train 100 Egyptian Scythe Chariots
Train 256 Macedonian Hoplites
Convert 1000 units
Convert 20 units with Egyptian Priests
Explore all areas of a single map
Win a random map game without training any cavalry
Defeated 20 heroes
Killed a Medusa
Collected 50,000 gold
Collected 50,000 stone
Won a game by building and holding a wonder
Won a game by holding all the artifacts
Won a game by holding ruins
Win a ranked ELO game.