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