Here is the full list of all 11 Alpha Warrior achievements.
Destroy an enemy ship while flying.
Destroy an obstacle while flying.
Destroy an enemy power station while flying.
Fly for 30 seconds.
Fly with thrust power up.
Defend enemy ship attack and obstacles by shield.
Destroy an enemy ship or obstacle by laser.
Destroy an enemy ship or obstacle by bomb.
Collect combo of 2 or more power ups.
Fly for 1 minute.
Complete a level in game.