Here is the full list of all 13 Lucid9: Inciting Incident achievements. It takes around 1-2 hours to unlock all of the achievements on Windows.
Have the option to choose to visit all available heroines.
Read all the investigation scenes at school.
Never select or input a wrong answer for Shigure's puzzles.
Be unable to visit any heroine.
Watch all the Gover Mecher episodes in one playthrough.
Complete common route
Select only the choices related to one heroine.
Get all the bad endings with the murderer.
Pick the stall option as many times as you can without reaching a bad end.
Never select a wrong answer for the deduction sequence.
Watch none of the Gover Mecher episodes in one playthrough.
Get a 100% on your pop quiz.
Never select a wrong choice in the initial encounter with Shigure.