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.
Select only the choices related to one heroine.
Complete common route
Watch none of the Gover Mecher episodes in one playthrough.
Never select or input a wrong answer for Shigure's puzzles.
Read all the investigation scenes at school.
Be unable to visit any 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 all 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.