Here is the full list of all 41 Dragon Star Varnir trophies - there are 22 bronze, 15 silver, 3 gold and 1 platinum.
Won a battle for the first time
Devoured a dragon for the first time
Obtained all trophy
Completed Chapter 1
Completed Chapter 2
Completed Chapter 3
Completed Chapter 4
Completed Chapter 5
Completed Chapter 6
Completed Chapter 7
Completed Chapter 8
Completed Chapter 9
Completed Chapter 10
Completed Chapter 11
Dominated a dungeon after clearing the game
You've seen Minessa's epilogue
You've seen Karikaro's epilogue
You've seen Laponette's epilogue
You've seen Charlotta's epilogue
You've seen Faria's epilogue
Received the Normal Ending
Received the Mad Ending
Cleared the Hard difficulty
Devoured 100 dragons
Used Dragon Awakening for the first time
Used Dragon Awakening 100 times
Completed 50% of the enemy list
Completed 80% of the enemy list
Defeated an elixir dragon for the first time
Defeated an elixir dragon fifty times
Released a factor for the first time
Unlocked over 200 factors
Reported a quest for the first time
Reported more than 80% of quests
Created an elixir for the first time
Created an elixir 100 times
Created a [+3] elixir
Created a [+10] elixir
Received a gift from a little sister for the first time
Received a gift from a little sister twenty times
Raise a characters level over 99