Here is the full list of all 34 Devil May Cry 3 HD trophies - there are 16 bronze, 12 silver, 5 gold and 1 platinum.
Unlock all trophies.
Reach the highest level in all Styles with Dante.
Finish the game on Heaven or Hell Mode with any character.
Finish the game on Dante Must Die Mode with any character.
Finish the game on Very Hard Mode with any character.
Finish the game on Hard Mode with any character.
Clear every mission in Yellow Orb Mode.
Finish the game on any difficulty as Vergil.
Achieve an S Rank on all missions (any difficulty or character).
Complete all Secret Missions with any Character.
Achieve an S Rank on any mission with any character.
Complete Bloody Palace Mode.
Pass 5000 levels in Bloody Palace Mode.
Pass 666 levels in Bloody Palace Mode.
Max out the Health Bar with Dante.
Finish the game on Normal Mode with any character.
Kill 100 enemies during the credits.
Defeat Arkham.
Defeat Doppelganger.
Defeat Jester in all of his forms.
Defeat Lady.
Purchase all Devil Arm skills with Dante.
Fight Vergil a second time and prevail.
Max out the Devil Trigger Gauge with Dante.
Defeat Geryon.
Defeat Beowulf.
Complete a Secret Mission with any character.
Defeat Nevan.
Defeat the Heart of Leviathan.
Survive an encounter with Vergil.
Defeat Agni and Rudra.
Defeat Gigapede.
Defeat Cerberus.
Reach the highest level for any gun with Dante.