Here is the full list of all 39 Wizard Warfare achievements.
Found a new city
Grow a city to size 10
Grow a city to size 15
Capture a lair
Win a battle
Form a road or harbor connection between two cities
Build a camp
Drain a swamp
Build a mine
Build a farm
Plant a forest
Clear a forest
Upgrade a squad
Capture an enemy city
Defeat an enemy wizard
Build Wooden Walls in a city
Build Stone Walls in a city
Cast a global ritual spell
Summon a Dragon unit
Convert gold to mana or mana to gold with Alchemy
Research Conjuration to Level 1
Research Conjuration to Level 3
Research Conjuration to Level 5
Research Evocation to Level 1
Research Evocation to Level 3
Research Evocation to Level 5
Research Enchanting to Level 1
Research Enchanting to Level 3
Research Enchanting to Level 5
Win a game as a Holy mage
Win a game as a Astral mage
Win a game as a Chaos mage
Win a game as a Nature mage
Win a game as a Death mage
Summon a magical unit
Set a rally point
Purchase a partially-built item
Win a game
Win a game on impossible difficulty level