Here is the full list of all 30 Army Corps of Hell (EU) trophies - there are 12 bronze, 12 silver, 5 gold and 1 platinum.
Obtained all trophies.
Alchemized all possible weapons, armor, and items.
Alchemized all weapons and armor for magi.
Alchemized all weapons and armor for spearmen.
Alchemized all weapons and armor for soldiers.
Alchemized all consumable items.
Achieved an overall platinum rating ten or more times.
Cleared a Purgatory stage (21-30) with an overall platinum rating.
Cleared a Purgatory stage (21-30) with magi only.
Cleared a Purgatory stage (21-30) with spearmen only.
Cleared a Purgatory stage (21-30) with soldiers only.
Cleared all Tartarus stages (31-40).
Cleared a Tartarus stage (31-40) with an overall platinum rating.
Exceeded 66,666 jewels in your possession.
Cleared a stage between 11 and 20 with spearmen only.
Cleared a stage between 11 and 20 with an overall platinum rating.
Cleared a stage between 11 and 20 with magi only.
Cleared a stage between 11 and 20 with soldiers only.
Cleared all Purgatory stages (21-30).
Completely filled the Demonic Compendium.
Defeated all bosses.
Crushed 3,000 foes.
Achieved the maximum rating (excellent) in one of the musical instrument mini-games.
Cleared up to stage 20.
Crushed 1,000 foes.
Alchemized first equipment for magi.
Alchemized first equipment for spearmen.
Crushed 100 foes.
Alchemized first equipment for soldiers.
Cleared the first stage.