Here is the full list of all 29 The Falconeer achievements.
Completed the Shard chapter
Found all Mancer locations
Found both biochemists and the weapons trader
Found all Civilian Free House locations
Completed the Cleftspire chapter
Took down 10 air targets in one mission
Completed the Epilogue
Completed the Oberon's Reach chapter
Filled all mutagen slots for your Falcon
Converted a fortified position for the Mancer Order
Completed the Dunkle chapter
Bought a new type of weapon
Took down 5 air targets in one mission
Converted a fortified position for the Imperium
Clocked fastest time on a racecourse
Completed the Prologue
Discovered a shrine or a temple
Retured to the scene of the Nodbomb blast
Converted a fortified position for the Pirates
Bought all chants from the seachantresses
Clocked the fastest time on all 5 racecourses
Purchased all 5 falcon types from races
Unlocked all permits in every campaign
Discovered all the shrines and temples
Found all 3 seachantresses
Found all the fortified locations
Found all Imperial locations
Destroyed 15 turrets in one mission
Sunk 3 ships in one mission