Here is the full list of all 46 Sorcerer King: Rivals achievements.
Win as Frozen Realm
Play for 100 hours
Win as Undead
Win 20 "predicted defeat" tactical battles without taking damage
Win as the Tyrant
Kill an enemy with a pioneer attack
Win as the Wizard
Defeat Abeix
Win as the Priest
Slay Aegethon
Destroy one of the Sorcerer King's Strongholds
Win as the Tinkerer
Defeat Corvos
Play for 40 hours
Win a game on Insane Difficulty
Win a game without a single shard destroyed
Win as the Guardian
Win a "predicted defeat" tactical battle without taking damage
Complete the Campaign
Win as the Commander
Achieve Ascension Victory
Slay Vetrar
Equip a champion with items in every slot
Defeat a Minor Faction that has sided with the Sorcerer King
Play for 15 hours
Use pioneers to upgrade an Outpost
Ally with a Minor Faction
Reach level 15 with a champion
Defeat Nabunihr
Found 5 additional cities in a single game
Get a city to level 9
Win a "predicted defeat" tactical battle
Complete a Champion Quest to recruit a new Champion to your cause
Play for 5 hours
Settle a new city
Use a pioneer to build an Outpost
Get a city to level 5
Use the Sovereign's magic to intervene in a tactical battle
Craft an item
Reach level 5 with a champion
Win a tactical battle
Claim a Shard
Build your first city improvement
Channel the focus of your Magic between Mana, Lore, and Sovereign Skill
Complete a Quest
Lower the Doomsday Counter