Here is the full list of all 75 Arkheim - there are Realms at War achievements.
Successfully purge the Dungeon 50 times.
Construct 5 Towers.
Spend 1000000 resources on upgrading Supplies.
Defeat 25 Goblin Camps.
Find 10 items in the Dungeon.
Sell 1 items.
Defeat 10 Goblin Barricades.
Unlock a new resource field 5 times.
Clear 25 obstacles in your Town.
Level up 25 times.
Loot 100 Orbs.
Complete 50 quests.
Complete 10 building levels.
Successfully purge the Dungeon 500 times.
Complete 1000 quests.
Complete 10000 quests.
Successfully purge the Dungeon 2500 times.
Complete 1000 building levels.
Complete 10000 building levels.
Defeat 200 Goblin Barricades.
Defeat 1500 Goblin Barricades.
Defeat 350 Goblin Camps.
Defeat 3000 Goblin Camps.
Find 75 items in the Dungeon.
Find 500 items in the Dungeon.
Sell 250 items.
Sell 5000 items.
Win 10 battles against other players.
Win 100 battles against other players.
Win 1000 battles against other players.
Unlock 30 Masteries.
Unlock 330 Masteries.
Unlock 3000 Masteries.
Participate in destroying 1 Towers.
Participate in destroying 25 Towers.
Participate in destroying 500 Towers.
Construct 100 Towers.
Construct 500 Towers.
Spend 1000000 resources on upgrading Towers.
Spend 100000000 resources on upgrading Towers.
Spend 10000000000 resources on upgrading Towers.
Spend 100000000 resources on upgrading Supplies.
Spend 10000000000 resources on upgrading Supplies.
Expand your Town 3 times.
Expand your Town 30 times.
Expand your Town 150 times.
Unlock a new resource field 40 times.
Unlock a new resource field 250 times.
Ascend 2 times with your Realm.
Ascend 12 times with your Realm.
Ascend 75 times with your Realm.
Loot 10000 Orbs.
Loot 1000000 Orbs.
Clear 250 obstacles in your Town.
Clear 5000 obstacles in your Town.
Finish 1 game worlds.
Finish 5 game worlds.
Finish 10 game worlds.
Level up 250 times.
Level up 2000 times.
Spend 1000000 resources on troops.
Spend 100000000 resources on troops.
Spend 10000000000 resources on troops.
Spend 1000000 resources on buildings.
Spend 100000000 resources on buildings.
Spend 10000000000 resources on buildings.
Upgrade 5 resource fields to level 25.
Upgrade 60 resource fields to level 25.
Upgrade 500 resource fields to level 25.
Train 1000 Dwarven troops.
Train 100000 Dwarven troops.
Train 10000000 Dwarven troops.
Train 1000 Elven troops.
Train 100000 Elven troops.
Train 10000000 Elven troops.