Here is the full list of all 12 Lost Wing trophies - there are 11 gold and 1 platinum.
Unlock a new color for your ship
Fire 1000 bullets
Arrive to a checkpoint untoched
Play upside down
Destroy 100 obstacles
Lose a wing
Score at least 100K points in any level
Crash your ship
Completed the Tutorial
Destroy 5 obstacles with a bomb
Get all the trophies
Fight a boss