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