Here is the full list of all 47 Danganronpa 2: Goodbye Despair trophies - there are 34 bronze, 9 silver, 3 gold and 1 platinum.
Earned every other trophy in the game
Unlocked all gallery items
Found every Hidden Monokuma
Collected every possible item in Magical Miracle Girl Monomi
Cleared all stages of Magical Miracle Girl Monomi
Saw every possible Island Mode ending
Cleared Island Mode once
Collected every possible present
Filled in every page of every character's Report Card
Filled in every page of Peko's Report Card
Filled in every page of Ibuki's Report Card
Filled in every page of Mikan's Report Card
Filled in every page of Hiyoko's Report Card
Filled in every page of Sonia's Report Card
Filled in every page of Fuyuhiko's Report Card
Filled in every page of Nekomaru's Report Card
Filled in every page of Byakuya's Report Card
Filled in every page of Kazuichi's Report Card
Filled in every page of Teruteru's Report Card
Filled in every page of Akane's Report Card
Filled in every page of Gundham's Report Card
Filled in every page of Nagito's Report Card
Fully raised every type of pets
Filled in every page of Mahiru's Report Card
Finished every chapter
Finished Chapter 5
Filled in every page of Chiaki's Report Card
Obtained all types of items in vending machine
Challenged vending machine 100 times
Collected 50 unique presents
Finished Chapter 4
Collected 999 Monocoins
Hajime Hinata breaks through level 99
Finished Chapter 3
Found half of the Hidden Monokumas
Finished Chapter 2
Destroyed 500 white noise lines across all class trials
Destroyed 100 white noise lines across all class trials
Fully raised one type of pet
Finished Chapter 1
Cleared a class trial without using your Concentration skill once
Cleared a class trial without taking any damage
Cleared a class trial without having to retry once
Hajime Hinata breaks through level 50
Break through 10,000 total number of steps
Break through 5000 total number of steps
Finished the prologue