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