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