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