Here is the full list of all 28 Falcon Age achievements.
Equip Falcon in Formal Wear
Feed Spicy Food while wearing the Dragon Helmet
Score Par or better in Lightning Golf
Complete Fetch Minigame
Craft Chicken Snack
Return to the Desert
Port Loop Rescue
Craft Fox Snack
Reclaim Refinery Uva
Craft Goat Snack
Craft Lizard Snack
Pet Falcon for 1 Minute
Reclaim Refinery Uda
Defeat a Heavy Sentry
Craft Rabbit Snack
Defeat a Sandwolf
Blow up Spider Spawner with a Spider Bomb
Open a Buried Lockbox
Collect All Produce
Complete Bomb Minigame
Farm for the first time
Falcon flyby grab item from hand
Falcon flyby drop item in hand
Reclaim Refinery Eliya
Defeat a Sentry
Feed your Falcon a crafted snack
Escape Prison
Defeat a Drone