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