Here is the full list of all 15 Kitten Lost Her Box achievements.
Defeat boss in World 01
Defeat boss in world 03
Defeat boss in world 02
Defeat the final boss
Get 10% Fish
Get 50% Fish.
Get 100% Fish.
Defeat three boss in one level
Finish once rush mode
Get 20K Score in one life
Get 50K Score in one life
Get 100K Score in one life
complete rush mode in 30 mins
complete rush mode in 23 mins
complete rush mode in 18 mins