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.
Finish the game on Normal Mode with any character.
Finish the game on Hard Mode with any character.
Finish the game on Very Hard Mode with any character.
Finish the game on Dante Must Die Mode with any character.
Finish the game on Heaven or Hell Mode with any character.
Finish the game on any difficulty as Vergil.
Complete a Secret Mission with any character.
Complete all Secret Missions with any Character.
Kill 100 enemies during the credits.
Pass 666 levels in Bloody Palace Mode.
Pass 5000 levels in Bloody Palace Mode.
Complete Bloody Palace Mode.
Achieve an S Rank on any mission with any character.
Achieve an S Rank on all missions (any difficulty or character).
Defeat Agni and Rudra.
Survive an encounter with Vergil.
Defeat the Heart of Leviathan.
Fight Vergil a second time and prevail.
Purchase all Devil Arm skills with Dante.
Defeat Jester in all of his forms.
Clear every mission in Yellow Orb Mode.
Reach the highest level in all Styles with Dante.
Reach the highest level for any gun with Dante.
Max out the Health Bar with Dante.
Max out the Devil Trigger Gauge with Dante.