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.
Take every alternate route in a Nonstop Debate.
Clear Chapter 6.
Find every hidden Monokuma.
Attend the final class trial.
Clear Chapter 5.
Slap around objects at least 1,000 times.
Achieved an S-Rank on Mean difficulty in TREASURE HUNTER! MONOLITH.
Learn the truth of the outside world.
Achieved an S-Rank on Mean difficulty in SALMON FISHING.
Clear Chapter 4.
Shoot down over 500 white noise.
Enter the Virtual World.
Use the Love Key to spend the night with a student.
Clear Chapter 3.
Conduct the seance.
Get all 7s on the MonoMono Slots.
Achieve the highest level bond with someone.
Own more than 10,000 casino coins.
Clear Chapter 2.
Take an alternate route during the Nonstop Debate.
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.
Acquire all trophies.
Achieve the maximum level.
Achieve the highest level bond with everyone.
Collect every present.
Achieved an S-Rank on Mean difficulty in OUTLAW RUN.
Reach the true ending in "Love Across the Universe."
Complete the Ultimate Talent Development Plan with one student.
Clear the final exam of the Ultimate Talent Development Plan.
Complete the Ultimate Talent Development Plan with every student, regardless of rarity.
Defeat the first boss of Despair Dungeon: Monokuma's Test.
Clear Despair Dungeon: Monokuma's Test.
Defeat the hidden boss in Despair Dungeon: Monokuma's Test.
Obtain all the Ultimate cards.
Unlock the entire gallery.