Here is the full list of all 43 CODE VEIN trophies - there are 26 bronze, 13 silver, 3 gold and 1 platinum.
View the "To Eternity" ending
Defeat the Skull King in the Gaol of the Stagnant Blood
Upgrade a Blood Veil to its maximum level
Activate all mistles
Defeat the Queen's Knight Reborn in the provisional government outskirts
Upgrade a weapon to its maximum level
Defeat the boss of the Crypt Spire, Juzo Mido
Defeat the Blade Bearer and Cannoneer in the Crypt Spire
Equip every Blood Veil type
Defeat the Successor of the Throat in the Crown of Sand
Defeat the Successor of the Claw in the City of Falling Flame
Defeat the Gilded Hunter in the Ashen Cavern
View Io's memory echoes
Defeat the Successor of the Breath in the Ridge of Frozen Souls
Defeat the Successor of the Ribcage in the Cathedral of the Sacred Blood
Defeat the Queen's Knight within your memory
Defeat the Insatiable Despot in the dried-up trenches
View Louis's memory echoes
Defeat the Butterfly of Delirium in the ruined city center
Equip every weapon type
Defeat the Invading Executioner in the Howling Pit
Give a desired valuable to a friend
Execute a Communal Gift
Defeat Oliver Collins in the ruined city underground
Listen to partner conversations 50 times while exploring
Successfully use a special drain from a parry, back attack, or launch attack
Earn all trophies
Learn 150 Gifts (excluding those learned when acquiring a blood code)
View every ending
Restore all Vestiges
Explore every part of the depths
Receive 30 presents from friends
Raise your reputation as a companion to rank 30
Unlock the ability to inherit 50 Gifts
Collect every blood code
Learn 50 Gifts (excluding those learned when acquiring a blood code)
View Yakumo's memory echoes
View Murasame's memory echoes
View Coco's memory echoes
View Davis's memory echoes
View Mia's memory echoes
View the "Heirs" ending
View the "Dweller in the Dark" ending