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