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