Here is the full list of all 10 The TakeOver achievements.
Complete the story in hard mode.
Beat the final boss without getting hit.
Complete the story in relay mode.
Don't lose a life in a single play through.
Get both game endings.
Complete the story playing as Jackson.
Complete the story in co-op mode.
Complete the story.
Shoot down 500 enemy aircraft in survival mode.
Beat 100 enemies in survival mode.