Here is the full list of all 36 Khan VS Kahn achievements. It takes around 1-2 hours to unlock all of the achievements on Windows.
Win a game with the orc race
Win by building the wonder
Build the final level of wonder
Build the fourth level of wonder
Build the third level of wonder
Build the second level of wonder
Build the first level of wonder
Build 3 farms in one game
Build 3 Woodcutters in one game
Win with a cultural victory
Win with a military victory
Win against a medium AI
Win against all AI
Win against an hard AI
Win a game with the troll race
Demolish a building
Win a game with the elves race
Win with a economic victory
Win against an easy AI
Win a game with the human race
Win with a science victory
Upgrade a Shrine at maximum
Change the altar to pray the gold god
A villager of yours die for nothing
Convert one man into soldier
Build a Shrine
Change the altar to pray the science god
Defeat the Necromancer
Upgrade a house at maximum
Change the altar to pray the farm god
Build 2 Taverns in one game
Play against a friend
Build 2 houses in one game
Upgrade the mine
Change the altar to pray the wood god
Go hunt for the first time