Here is the full list of all 29 Falcon Age trophies - there are 10 bronze, 12 silver, 6 gold and 1 platinum.
Falcon flyby drop item in hand
Farm for the first time
Falcon flyby grab item from hand
Reclaim Refinery Eliya
Blow up Spider Spawner with a Spider Bomb
Defeat a Sentry
Pet Falcon for 1 Minute
Feed your Falcon a crafted snack
Craft Rabbit Snack
Escape Prison
Defeat a Drone
Collect all Trophies
Reclaim Refinery Uda
Reclaim Refinery Uva
Port Loop Rescue
Return to the Desert
Defeat a Heavy Sentry
Score Par or better in Lightning Golf
Complete Bomb Minigame
Complete Fetch Minigame
Collect All Produce
Open a Buried Lockbox
Equip Falcon in Formal Wear
Feed Spicy Food while wearing the Dragon Helmet
Craft Lizard Snack
Defeat a Sandwolf
Craft Fox Snack
Craft Chicken Snack
Craft Goat Snack