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