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