Here is the full list of all 41 Danganronpa V3: Killing Harmony (EU) trophies - there are 26 bronze, 10 silver, 4 gold and 1 platinum.
Acquire all trophies.
Complete the Ultimate Talent Development Plan with every student, regardless of rarity.
Defeat the hidden boss in Despair Dungeon: Monokuma's Test.
Obtain all the Ultimate cards.
Clear Despair Dungeon: Monokuma's Test.
Clear the final exam of the Ultimate Talent Development Plan.
Defeat the first boss of Despair Dungeon: Monokuma's Test.
Collect every present.
Complete the Ultimate Talent Development Plan with one student.
Unlock the entire gallery.
Achieve the maximum level.
Reach the true ending in "Love Across the Universe."
Achieve the highest level bond with everyone.
Use the Love Key to spend the night with a student.
Achieved an S-Rank on Mean difficulty in OUTLAW RUN.
Achieved an S-Rank on Mean difficulty in SALMON FISHING.
Achieved an S-Rank on Mean difficulty in TREASURE HUNTER! MONOLITH.
Get all 7s on the MonoMono Slots.
Clear Chapter 6.
Find every hidden Monokuma.
Own more than 10,000 casino coins.
Attend the final class trial.
Clear Chapter 5.
Take every alternate route in a Nonstop Debate.
Learn the truth of the outside world.
Achieve the highest level bond with someone.
Clear Chapter 4.
Enter the Virtual World.
Clear Chapter 3.
Conduct the seance.
Take an alternate route during the Nonstop Debate.
Clear Chapter 2.
Shoot down over 500 white noise.
Slap around objects at least 1,000 times.
Unlock new areas inside the academy.
Clear Chapter 1.
Present false evidence.
Perform a V-Refute, V-Agree, and V-Lie.
Refute an argument.
Find a hidden Monokuma.
Clear the prologue.