Here is the full list of all 21 Airstrife: Assault of the Aviators achievements.
Finish and complete the game 100%
Destroy a plane by using your plane as the weapon and the sacrifice
Complete Chapter 1
Complete Chapter 2
Complete Chapter 3
Complete Chapter 4
Complete Chapter 5
Research and collect all Guns and Cannons
Research and collect all Missiles
Finish a Stage without getting any damages
Finish a Stage without using any Missiles
Finish a Stage without using any Guns
Win a Stage by playing solo
Win a Stage with 2 players or more
Research a new Plane
Research a new Gun or Cannon
Research a new Missile
Research a new part for your plane
Destroy a Cargo Plane to get a reward
Raise your Bank money up to $2000
Raise your Bank money up to $5000