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