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