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