Here is the full list of all 13 Aeon achievements.
Killed 100 enemies without dead in endless.1 mode.
Finished all levels in Easy Mode.
Finish 20 battle points without hurt.
Slashed 100 enemies/rockets/enemy pieces
Used your sword to slash a rocket.
Used your sword to slash a bullet.
100 head shot.
Killed 100 enemies without dead in endless.2 mode.
Finished all levels in Normal Mode.
Finished all levels in Hard Mode.
Finished all levels in Nightmare Mode.
Finished all levels in Mars Mode.
Finish all levels with expert mode.