Here is the full list of all 16 Cute Honey achievements.
Finish Stage 3
Finish Stage 2
Finish Stage 1
Finish all stages but have used Help
Start Game
Finish Stage 4
Finish Stage 5
Finish Stage 6
Finish Stage 7
Finish Stage 8
Finish Stage 9
Finish Stage 10
Finish all stages without using any Skip
Finish all stages but have used Skip
Finish all stages without using any help and skip
Finish all stages