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