Here is the full list of all 15 Blaster Master Zero achievements.
Defeat the boss of Area 1.
See the true ending.
See the normal ending.
Defeat the boss of Area 2.
Defeat the boss of Area 3.
Defeat the boss of Area 4.
Defeat the boss of Area 5.
Defeat the boss of Area 6.
Defeat the boss of Area 7.
Defeat the boss of Area 7 with a FULL ACCELERATION BLAST.
Defeat the boss of Area 8.
Summon SOPHIA-III from a retry point.
Obtain every key item.
See the true ending on Destroyer Mode.
Clear Boss Blaster Mode.