Here is the full list of all 28 Super Dungeon Tactics achievements.
Complete an Xtreme multi-encounter quest with no hero deaths.
Defeat all dummies in a Training quest.
Obtain an item of Mystic quality.
Kill 3 or more enemies with a multi-attack ability.
Win an encounter after 40 rounds.
Kill 5 or more Minibosses in a single encounter.
Use 60 consumables in a single encounter.
Kill 7 or more enemies in a single attack.
Complete a quest with a party of 4 or more equipped with only ranged weapons.
Kill 50 or more enemies in a single encounter.
Complete a quest with a party of 4 or more equipped with only melee weapons.
Complete a quest with a party of 3 or more without weapons.
Win an encounter having lost 4 heroes.
Complete a quest with a party of 4 or more that have Mystics in every slot.
Reach maximum Aggro on all heroes in a party of 4 or more.
Have a skull assigned to 6 or more heroes in a round.
Have villagers deal 6 or more damage in a single campaign encounter.
Win a campaign encounter with only villagers remaining.
Have 25 or more squares on fire simultaneously.
Have a hero defeat themselves in combat.
Have 16 or more dice roll at once.
Complete the final campaign quest on Casual or higher.
Complete the final campaign quest on Easy or higher.
Complete the final campaign quest on Normal or higher.
Complete the final campaign quest on Veteran or higher.
Complete the final campaign quest on Xtreme.
Complete a multi-encounter quest on Veteran or higher without using potions.
Lose a hero to a training dummy.