Here is the full list of all 16 Dizzy Rogues achievements.
Beat the game without buying anything.
Defeat the boss.
Beat the game without the blacksmith or doctor.
De-feet the boss.
Nowhere zone cleared.
Beat a Nowhere level without using your ability.
Ocean zone cleared.
Defeat 30 Dung Beetles
Don't hit any worms in the Desert zone.
Beat a Desert level with at least 30 combo.
Reach 50 combo.
Skip buying anything at the shop.
Beat a Garden level with full health.
Desert zone cleared.
Buy the carrot on a stick.
Garden zone cleared.