Here is the full list of all 87 Arcanium: Rise of Akhan achievements.
Activate 50 unique tiles in Anador
Defeat Ra'Kzar once in any difficulty
Defeat 50 Scorched Lands enemies
Defeat 50 Uzir enemies
Gain a total of 100 Essence
Defeat Noctus once in any difficulty
Spend 5,000 Gold at any Trainer
Activate 50 unique tiles in Uzir
Defeat Akhan once in any difficulty
Activate 50 unique tiles in Scorched Lands
Defeat Aranax once in any difficulty
Defeat 50 Anador enemies
Spend 5,000 Gold at any Forge
Reach account Mastery level 100
Reach account Mastery level 200
Reach account Mastery level 50
Reach account Mastery level 150
Destroy 2 enemies in one Turn
Destroy 3 enemies in one Turn
Visit 25 Shrines in Anador
Choose 50 Neutral Arcana Ability cards from Battle rewards
Choose 50 Neutral Elemental Ability cards from Battle rewards
Reach Cataclysm 25 times
Choose 50 Neutral Light Ability cards from Battle rewards
Purchase 50 Artifacts from Forges
Defeat a Boss with only 1 Hero standing
Upgrade 100 Abilities
Purchase 50 Minions from Outposts
Choose 50 Neutral Nature Ability cards from Battle rewards
Purchase 50 Items from Alchemists
Purchase 50 Abilities from Trainers
Visit 25 Shrines in Scorched Lands
Use the Inn 50 times
Use Campsites 50 times
Visit 25 Shrines in Uzir
Visit 50 Oracles
Choose 50 Neutral Void Ability cards from Battle rewards
Unlock 100% of Anador
Unlock 75% of Anador
Unlock 25% of Anador
Unlock 50% of Anador
Unlock 100% of Scorched Lands
Unlock 75% of Scorched Lands
Unlock 25% of Scorched Lands
Unlock 50% of Scorched Lands
Unlock 100% of Uzir
Unlock 75% of Uzir
Unlock 25% of Uzir
Unlock 50% of Uzir
Reach level 20 with Angorn
Reach level 20 with Aurora
Reach level 20 with Bjorn
Reach level 20 with Carrion
Reach level 20 with Celeste
Reach level 20 with Drakkaw
Reach level 20 with Lazaar
Reach level 20 with Leon
Reach level 20 with Maverick
Reach level 20 with Milady
Reach level 20 with Misty
Reach level 20 with Mozebus
Reach level 20 with Ragnarok
Reach level 20 with Shinzo
Reach level 20 with Tara
Reach level 20 with Thoram
Defeat Akhan in Apex mode
Defeat Akhan in Challenger mode
Defeat Akhan in Expert mode
Defeat Akhan in Hard mode
Defeat Akhan in Heroic mode
Defeat Akhan in Mythic mode
Defeat Akhan in Normal mode
Reach Master 50 to unlock Arena mode
Obtain 6 Injuries or more on a Hero in the Arena
Spend 9999 Gold at the Quartermaster during an Arena run
Destroy 6 or more Corrupted enemies during an Arena run
Win an Arena run without receiving any Injury
Select 5 or more Fate cards during an Arena run
Win an Arena run with a total of 10 Injuries or more on your Heroes
Select 3 or more Hazardous Battles during an Arena run
Defeat Hemlock in the Arena
Defeat 20 Bosses in the Arena
Defeat Ogar in the Arena
Spend 9999 Gold or more on Perks during an Arena run
Play 1 Arena game
Defeat Sparks in the Arena
Spend 9999 Gold or more on Healing during an Arena run