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