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.
Never select or input a wrong answer for Shigure's puzzles.
Get all the bad endings with the murderer.
Be unable to visit any heroine.
Select only the choices related to one heroine.
Read all the investigation scenes at school.
Watch all the Gover Mecher episodes in one playthrough.
Have the option to choose to visit all available heroines.
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.
Complete common route
Pick the stall option as many times as you can without reaching a bad end.