Here is the full list of all 40 Sorcerer King achievements.
Play for 100 hours
Win as the Tinkerer
Win as the Priest
Play for 40 hours
Win as the Tyrant
Win a game on Insane Difficulty
Win as the Wizard
Destroy one of the Sorcerer King's Strongholds
Play for 15 hours
Win as the Guardian
Slay Aegethon
Get a city to level 9
Complete the Campaign
Win a game without a single shard destroyed
Win as the Commander
Reach level 15 with a champion
Found 5 additional cities in a single game
Defeat a Minor Faction that has sided with the Sorcerer King
Play for 5 hours
Complete a Champion Quest to recruit a new Champion to your cause
Ally with a Minor Faction
Use pioneers to upgrade an Outpost
Slay Vetrar
Equip a champion with items in every slot
Craft an item
Settle a new city
Get a city to level 5
Reach level 5 with a champion
Win 20 "predicted defeat" tactical battles without taking damage
Win a "predicted defeat" tactical battle without taking damage
Use the Sovereign's magic to intervene in a tactical battle
Win a "predicted defeat" tactical battle
Use a pioneer to build an Outpost
Kill an enemy with a pioneer attack
Claim a Shard
Build your first city improvement
Win a tactical battle
Channel the focus of your Magic between Mana, Lore, and Sovereign Skill
Lower the Doomsday Counter
Complete a Quest