Here is the full list of all 10 Kero Blaster achievements.
Beat Omake Mode while wearing the jacket.
Beat Zangyou Mode while wearing the jacket.
Beat the game while wearing the jacket.
Beat Zangyou Mode with 2 lives remaining.
Beat Zangyou Mode without getting wiped out.
Complete Omake Mode.
Beat the game without getting wiped out.
Beat the game with 2 lives remaining.
Complete Zangyou Mode.
Beat Normal Mode.