Here is the full list of all 16 Super Ninja Meow Cat achievements.
Beat A Boss Will Low Health
Beat Any Level Without Using A Sub-Weapon
Defeat Any Boss With A Projectile Hit!
Beat The First Level!
Found Level 1 Secret!
Found Level 2 Secret!
Found Level 3 Secret!
Found Level 4 Secret!
Found Level 5 Secret!
Found Level 6 Secret
Found Level 7 Secret
Beat The Game!
Beat Any Level Without Getting Hit Once!
Beat Any Boss With Any Dragon.
Fire 20 Projectiles In Any Level!
Died 10 times In A Row On Same Level.