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