Here is the full list of all 29 ESCHATOS achievements.
Clear ORIGINAL NORMAL Mode.
Beat the mysterious organism that had merged with the moon and escape. (Normal difficulty or higher)
Reach option level 10.
Fight off the giant mothership in Area 20 and plunge towards the moon. (Normal difficulty or higher)
Destroy the 3 eggs on the carrier in Area 14.
Fight off the transport ship in orbit. (Normal difficulty or higher)
Follow the transport ship into orbit. (Normal difficulty or higher)
Upload a score to the global leaderboard.
Confront the giant mothership in Area 5. (Normal difficulty or higher)
Play all modes and difficulties.
Reach option level 25.
Reach option level 50.
Clear ORIGINAL EASY Mode.
Clear ORIGINAL HARD Mode.
Clear ORIGINAL HARDEST Mode.
Clear ADVANCED EASY Mode.
Clear ADVANCED NORMAL Mode.
Clear ADVANCED HARD Mode.
Clear ADVANCED HARDEST Mode.
Clear TIME ATTACK Mode.
Reach a x20 score multiplier.
Watch the replay of another player.
Survive over 30s with 0 shield.
Hold out until the mirror shield autodestructs.
Destroy over 512 enemy bullets with one shield activation.
Defeat the Kraken in Area 24 before it is killed by enemy laser.
Finish off the final boss at point-blank range.
Color all 10 planes in the epilogue.
Reach loop 4 in ENDLESS MODE.