The Silver Case: Case #4.5: Face is a spin-off of The Silver Case, taking place (as the title indicates) between case #4:kamuidrome and case #5: life cut of the main game. 
 
The story starts with Sakura Natsume and portrays a case she and the Heinous Crimes Unit investigated separately prior to her joining them.

Pre-Lunatics depicts the events occurring shortly before and at the very beginning of case#0:lunatics. It shows a glimpse into Ryo Kazan's mental breakdown following the events of Moonlight Syndrome, Sumio Kodai leaving HQ after getting a bad feeling, and Tetsugoro Kusabi looking at a picture of Toriko Kusabi and Christina. It leads directly into lunatics, with its last few pages matching the beginning of the case.
 
(Source: Suda51 Wiki)

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