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.
Get all the bad endings with the murderer.
Never select a wrong choice in the initial encounter with Shigure.
Never select a wrong answer for the deduction sequence.
Be unable to visit any heroine.
Watch none of the Gover Mecher episodes in one playthrough.
Select only the choices related to one heroine.
Read all the investigation scenes at school.
Watch all the Gover Mecher episodes in one playthrough.
Never select or input a wrong answer for Shigure's puzzles.
Get a 100% on your pop quiz.
Complete common route
Have the option to choose to visit all available heroines.
Pick the stall option as many times as you can without reaching a bad end.