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