Here is the full list of all 59 MIRAY achievements.
Clear the Stage 1.
Clear the Stage 6.
Clear the Stage 7.
Clear the Stage 15.
Clear the Stage 1 without miss.
Clear the Stage 6 without miss.
Clear the Stage 7 without miss.
Clear the Stage 15 without miss.
Clear the Stage 10.
Clear the Stage 10 without miss.
Clear the Stage 1 without death.
Clear the Stage 6 without death.
Clear the Stage 7 without death.
Clear the Stage 15 without death.
Clear the Stage 10 without death.
Clear the Ending.
Clear the Ending without death.
Clear the Ending without miss.
Clear the Extra.
Clear the Extra without death.
Clear the Extra without miss.
Clear the Stage 8.
Clear the Stage 8 without death.
Clear the Stage 8 without miss.
Clear the Stage 2.
Clear the Stage 2 without death.
Clear the Stage 2 without miss.
Clear the Stage 5.
Clear the Stage 5 without miss.
Clear the Stage 5 without death.
Clear the Stage 4.
Clear the Stage 4 without death.
Clear the Stage 4 without miss.
Clear the Stage 3.
Clear the Stage 3 without death.
Clear the Stage 3 without miss.
Reach the Progress rate to 200%.
Clear the Stage 13.
Clear the Stage 13 without death.
Clear the Stage 13 without miss.
Clear the Stage 12
Clear the Stage 12 without death.
Clear the Stage 12 without miss.
Clear the Stage 9.
Clear the Stage 9 without death.
Clear the Stage 9 without miss.
Clear the Stage 11.
Clear the Stage 11 without death.
Clear the Stage 11 without miss.
Reach the Progress rate to 100%.
Clear the Stage 14.
Clear the Stage 14 without death.
Clear the Stage 14 without miss.
Clear the Extra without death