Here is the full list of all 22 Heartomics: Lost Count achievements.
Clear All Stages Wihout Dying
Clear All Stages Under 30m
Die One Hundred Times
Die Fifty Times
Clear Stage Eleven
Clear All Stages Under 57m 8s
Clear All Stages Under 60m
Clear All Stages
Clear Stage Ten
Clear Stage Nine
Clear Stage Eight
Clear Stage Seven
Clear Stage Six
Clear Stage Five
Die Twenty Five Times
Clear Stage Four
Clear Stage Three
Clear Stage Two
Die Ten Times
Reach Max Power
Clear Stage One
First Death