Here is the full list of all 27 Airship Dragoon achievements.
Deus Ex Machina
Herosim Defeated Insurmountable Odds
True Professionalism Won The Day
Victory Against Overwhelming Odds
Determination Saved The Day
Skill Won Through Against Stiff Odds
You Made It Look Harder Than It Was
Enemy Routed By Skill And Cunning
Nothing To Write Home About
You Ground Out A Victory
A Less Incompetent Enemy Would Win
Fate Foiled Your Incompetence
You Should Never Have Bothered
Everyone Had A Lovely Picnic
A Trooper Gets 3 Kills In 1 Turn
Abort Battle With 3+ Troops Abandon 0
Have A Trooper Promoted To Brigadier
Win Clear Area Mission Vs Pirates
Win Defend Mission Vs Pirates
Win Assault Mission Vs Pirates
Win With 0 Casualties in Single Battle Mode
Capture An Enemy Airship
Destroy An Enemy Garrison
Upgrade All Class Item To Max
Win The Main Pangea Campaign
Destroy All Pirate Garrisons (Citadel)
Storm The Citadel (Citadel Campaign)