Here is the full list of all 69 Hero Academy achievements.
Taunt an opponent.
Submit a turn less than three minutes after your opponent moves.
Use an assault tile to do bonus crystal damage.
Submit five turns.
Take all day to put in your turn after your opponent does.
Win a game with the Council.
Win a game against a random player.
Knock out an enemy.
Knock out three enemy heroes in one turn.
Use the undo feature and try something new.
Win a game with the Dark Elves.
Win a game with the Tribe.
Complete the Tutorial.
Submit 100 turns.
Stomp two enemy heroes in one turn.
Attack a single enemy with three different heroes in one turn.
Do 2000 or more damage with a single attack.
Win a game by destroying the enemy's crystals.
Win a game by destroying the enemy team.
Destroy two enemy crystals in a single turn.
Win a game and take no crystal damage.
Win 25 games.
Win 100 games.
Add Runemetal, Dragonscale, and Shining Helm to a single Knight.
Resurrect and fully heal a knocked-out ally in a single turn.
Knock out a full-health enemy with one shot from an Archer.
Hit three enemies with a single attack by a Wizard with a scroll.
Do 2500 damage or more with a single Ninja attack.
Win 50 games with the Council.
Pull an enemy off an assault tile with an Impaler.
Weaken three enemies with the priestess in a single turn.
Hit three enemies at once with a Void Monk's attack.
Raise two Phantoms in a single turn with a Necromancer.
Build up a max-health Wraith.
Win 50 games with the Dark Elves.
Win a game with the Dwarves.
Shield a crystal with an Engineer.
Hit three enemy heroes or crystals at once with a single Gunner attack.
Hit four enemy heroes or crystals at once with a single Grenadier attack.
Get a Paladin to heal herself.
Knock out three enemies at once with an Annihilator shot.
Win 50 games with the Dwarves.
Execute two enemies in one turn with a Warrior.
Hit three full-strength enemies in one turn with an Axe Thrower.
Do 1000 points of damage with a corpse explosion.
Heal three allies with a chained Shaman heal.
Damage five targets with one Chieftain attack.
Win 50 games with the Tribe.
Win a game with the Team Fortress team.
Link a Medic to a Heavy.
Have an Engineer equip three allies in a single turn.
Hit an enemy target at maximum range with the Sniper.
Hit three enemies at once with a Heavy's attack.
Knock out two enemies at once with the Pyro.
Win 50 games with the Team Fortress team.
Complete all Meet the Council challenges.
Complete all Meet the Dark Elves challenges.
Complete all Meet the Dwarves challenges.
Complete all Meet the Tribe challenges.
Complete all Meet Team Fortress challenges.
Win a game with the Shaolin Team.
Win 50 games with the Shaolin Team.
Lower an enemy's maximum health by 250 with a Monk.
Hit three targets with a single Windblade attack.
Debuff three enemies in one turn with a Poisoner.
Removed an enemy hero's buff and a friendly hero's debuff in the same turn with a Taoist.
Resurrect an opponent's Ninja, Wraith, Chieftain, or Annihilator with the Shadow.
Complete all Meet the Shaolin challenges.
Complete all Challenge Collection challenges.