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