Notifications for special achievements you get in-game through the story. They can be viewed by examining the trophy case at the Fortuna Office.

Unlockable	How to Unlock
A Star is Born	Complete Chapter 1
Fire Emblem	Complete Chapter 6
Get Set... Go!	Complete 27 Side Stories
Good Job	Complete all the Side Stories
Grand Finale	Get the Best Ending by completing all side stories
Head Over Heels for Her	Complete Chapter 2
On Your Mark...	Complete 5 Side Stories
Reincarnation	Complete the Prologue
The Audition	Complete Chapter 4
The Long Goodbye	Complete the Epilogue
The Next Generation	Complete Chapter 3
True Colors	Complete Chapter 5