Here is the full list of all 37 Deity Empires achievements.
Demonically possess an enemy unit with a Shadow Rift Spawn.
Descend 20 levels into a dungeon.
Conquer 100 enemy cities.
Grow an empire to 5 million population.
Obtain a magical item with a mana value of 100000 or more.
Raise a unit to level 20.
Raise a hero to level 20.
Defeat 10000 enemy units in battle.
Find 1000 magic items.
Summon a Red Dragon
Assemble an army with a strength rating of 10000.
Grow an empire to 1 million population.
Grow a city to 100000 population.
Defeat 1000 enemy units in battle.
Conquer 10 enemy cities.
Raise a unit to level 10.
Defeat 100 enemy units in battle.
Descend 5 levels into a dungeon lair.
Raise a unit to level 5.
Defeat 10 enemy units in battle.
Found one city.
Slay an Ancient Gold Dragon
Defeat 5 Lich Lords in a single battle.
Gather 18 Rock Behemoths together in a single army.
Win a single-player game on Hopeless difficulty with 4 or more opponents, at normal speed or slower, with AI gold of 100% or more, and at least one map dimension of 50 or more.
Kill 20 Shadow Rift Spawns in a single game.
Kill 10 Ancient Tree-Ents in a single battle.
Grow an empire to 50 million population.
Defeat 100000 enemy units in battle.
Raise a deities magic skill to 15 in five schools of magic.
Grow a city to 1000000 population.
Defeat 250000 enemy units in battle.
Raise a hero to level 50.
Raise a unit to level 50.
Defeat one greater hero.
Create 1000 magic items.
Assemble an army with a strength rating of 100000.