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