Here is the full list of all 24 Owlboy trophies - there are 7 bronze, 9 silver, 7 gold and 1 platinum.
Throw Geddy into the clouds! How rude!
Try to report to Asio at the first sign of trouble
Collect the Golden disks
Beat the game
Beat Geddy 1000 times
Learn how to cope with the heat in Toby's hot spring
Played Otus's song on Bomboman's drums
Listen to the shell near the old ruins
Master trinket collection at Buccanary's!
Clear the Boguin's Cannon Challenge
Rescue the Boguin Brothers, enjoy your explosive surprise
What are you doing, Owlboy?!
Twig joins your team!
Defeated the Molten Guardian
Defeat the Security System
Survived the Destruction of Advent
Escaped the Frog Guardian
Alphonse joins your team!
Obtain the Strange Device
Geddy joins your team!
Get all the game trophies
Unlock every trinket from Buccanary's shop
Collect all Buccanary coins
Collect every Buccanary coin from all zones