Here is the full list of all 29 Super Dungeon Tactics trophies - there are 16 bronze, 5 silver, 7 gold and 1 platinum.
Unlocked all trophies.
Complete the final campaign quest on Xtreme.
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 a multi-encounter quest on Veteran or higher without using potions.
Have a hero defeat themselves in combat.
Have a skull assigned to 6 or more heroes in a round.
Complete a quest with a party of 4 or more that have Mystics in every slot.
Have 25 or more squares on fire simultaneously.
Use 60 consumables in a single encounter.
Complete a quest with a party of 4 or more heroes equipped with only ranged weapons.
Have 16 or more dice roll at once.
Kill 7 or more enemies in a single attack.
Win an encounter having lost 4 heroes.
Kill 5 or more Minibosses in a single encounter.
Complete a quest with a party of 4 or more heroes equipped with only melee weapons.
Win a campaign encounter with only villagers remaining.
Have villagers deal 6 or more damage in a single campaign encounter.
Complete a quest with a party of 3 or more heroes without weapons.
Obtain an item of Mystic quality.
Kill 50 or more enemies in a single encounter.
Reach maximum Aggro on all heroes in a party of 4 or more.
Complete an Xtreme encounter with no hero deaths.
Win an encounter after 40 rounds.
Lose a hero to a training dummy.
Defeat all dummies in a Training quest.
Kill 3 or more enemies with a multi-attack ability.