Here is the full list of all 22 Sword of Asumi achievements. It takes around 0-1 hour to unlock all of the achievements on Windows.
Killed Utsuro at the End
Saved the World and fell in love #3
Completed Mercy is for the Weak Ending
Impress Kami with your poetry skills
Killed Mineko at the End
Completed the Dying Alone Ending
Completed Hikari's Unrequited Love Ending
Saved the World and fell in love #1
Assassinate the kidnappers after they talk
Drug the Principal for Information
Skipped the intro on second playthrough
Saved the World and fell in love #4
Try a little cosplay with Kaori
You Spread Rumours about Hiro & Jiro
Kill Everyone in the intro
Saved the World and fell in love #2
Suggest to Kaori she is your type too
Completed the 'canon' ending to the game
Completed Death of Hikari Ending
Completed the entire game at least once
Get a perfect score in Tactics with Sen
Came first on the Obstacle Course