Here is the full list of all 16 Mute Crimson achievements.
Finish Arcade Mode
Finish Arcade Mode In Under 60 Minutes
Finish Arcade Mode In Under 45 Minutes
Acquire All Achievements
Finish Mute Crimson Classic
Finish Boss Rush Mode
Got All Of The Coins
Defeat Demon Wall
Defeat Pure Demon
Defeat Robo Squid
Got Half Of The Coins
Defeat Super Computer
Defeat King Eye
Defeat Moth
Defeat Space Squid
Got A Coin