Here is the full list of all 13 Love Thyself - A Horatio Story achievements. It takes around 0-1 hour to unlock all of the achievements on Windows.
Make a splash in Horatio society
Reach "Secret Good Ending".
Join the loyalists.
Join the dissidents.
Make no mistakes during the rehearsal.
Meet some interesting folks.
Shirk "Imperial Maintenance".
Try to set your name as Horatio.
Accomplish your mission against all odds.