Here is the full list of all 12 Broken Hearts Island achievements.
Go through the entire game in special mode
Resist the dark magic
Protect Daisy
Do not resist the dark magic
Ending with the new fairy
Turn the topic to food in important choice
Dream with the blue fairy
Visit Calidum twice
End in Calidum
Ask the fairies all possible questions
Make Daisy read her diary
Watch the prologue