Here is the full list of all 31 Dust: An Elysian Tail trophies - there are 16 bronze, 8 silver, 6 gold and 1 platinum.
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Reign chaos by putting poison ivy into Gianni's laundry
Hang out with Twelve Friends in the Sanctuary
Earn a Four-Star Rating in EVERY Challenge Arena
Fulfill Bopo's wish for snow
Completed 20 Sidequests
Bug Matti
Opt out of putting poison ivy into Gianni's laundry
Complete the Game on Tough or Hardcore setting
Defeat General Gaius
Complete all Fale Quests
Completed 10 Sidequests
Earn a Four-Star Rating in any Challenge Arena
Completed 5 Sidequests
Kill an enemy with the slide attack
Destroy every enemy Cannon
Defeated Baron Kane
Simultaneously Kill 6 Enemies with a Single Bomb
Successfully complete a 1000+ hit combo
Unlock a Cage and Rescue a Friend
Defeated Lady Tethys
Defeated Fuse
Craft an item from a blueprint
Kill 500 Enemies
Meet Haley
Successfully Parry with less than 10% health remaining
Unlock a Treasure Chest
Level Up by Assigning Skill Gems
Successfully complete a 200+ hit combo
Use the DUST STORM on Fidget's Projectiles
Pick Up an Ability Orb