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.
Be unable to visit any heroine.
Complete common route
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 all the bad endings with the murderer.
Pick the stall option as many times as you can without reaching a bad end.
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.
Never select a wrong choice in the initial encounter with Shigure.
Read all the investigation scenes at school.
Select only the choices related to one heroine.