Here is the full list of all 41 [NINJA GAIDEN: Master Collection] NINJA GAIDEN Σ2 achievements.
Clear one Ninja Race course.
Clear WARRIOR.
Successfully complete Chapter 13.
Successfully complete Chapter 10.
Defeat 1000 enemies with Hayabusa.
Successfully complete Chapter 7.
Achieve a 100-hit combo with any weapon.
Successfully perform the Art of the Piercing Void Ninpo.
Successfully complete Chapter 4.
Successfully perform the Art of the Wind Blades Ninpo.
Successfully perform the Invisible Path technique.
Successfully perform the Unrivaled Soaring technique.
Successfully perform the Art of the Flame Phoenix Ninpo.
Successfully perform the Guillotine Throw technique.
Successfully perform the Izuna Drop technique.
Successfully perform the Counter Attack technique.
Successfully complete Chapter 1.
Successfully perform the Furious Wind technique.
Successfully perform the Ultimate Guidance technique.
Successfully perform the Ultimate Technique
Successfully perform the Flying Swallow technique.
Successfully perform the Flying Bird Flip technique.
Successfully perform the Obliteration Technique.
Successfully perform the Art of the Inferno Ninpo.
Successfully perform the Reverse Wind technique.
Successfully perform the Shadowless Footsteps technique.
Obtained all achievements.
Clear Hero Play Style or ACOLYTE.
Clear MENTOR.
Clear MASTER NINJA.
In CHAPTER CHALLENGE (ACOLYTE), receive an evaluation of MASTER NINJA for all chapters.
In CHAPTER CHALLENGE (WARRIOR), receive an evaluation of MASTER NINJA for all chapters.
In CHAPTER CHALLENGE (MENTOR), receive an evaluation of MASTER NINJA for all chapters.
In CHAPTER CHALLENGE (MASTER NINJA), receive an evaluation of MASTER NINJA for all chapters.
Obtained all Crystal Skulls.
Defeat 1000 enemies with Ayane.
Defeat 1000 enemies with Momiji.
Defeat 1000 enemies with Rachel.
Achieve 50 combo kills.
Clear all Ninja Race courses.
Clear all NORMAL missions as TAG MISSIONS.