Here is the full list of all 36 Danganronpa Another Episode: Ultra Despair Girls trophies - there are 21 bronze, 9 silver, 5 gold and 1 platinum.
Finished all chapters.
Finished Chapter 5.
Finished Chapter 4.
Finished Chapter 3.
Defended the secret base from attack.
Cleared the Motivation Machine event.
Komaru vs. Genocide Jack cleared.
Defeated every type of Monokuma.
Found half of the Bling Bullets in the game.
Finished Chapter 2.
Raised Komaru to level 20.
Handed over your first Hit List to Hiroko.
Rescued Shirokuma.
Defeated 100 Monokumas.
Finished Chapter 1.
Found your first Hidden Kid.
Escaped the collapsing bridge.
Found your first Reference Book.
Found your first book and saw your first bonus conversation.
Played a MONOKU-MAN machine for the first time.
Finished the Prologue.
Collected 100 Monocoins.
Defeated your first Monokuma.
Earned every other trophy in the game.
Defeated 1,000 Monokumas.
Found all of the Bling Bullets in the game.
Collected 10,000 Monocoins.
Handed over all Hit Lists to Hiroko.
Maxed out Genocide Jack's scissors.
Found every page of the Socki the Sock book.
Earned a B in every chapter.
Earned an A in every chapter.
Found all of the Hidden Kids.
Found all Scrap Notes.
Found all Reference Books.
Raised Komaru to max level.