Okitegami Kyouko no Bibouroku
The Memorandum of Kyoko Okitegami

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These two are slightly different from your usual detective mystery stories, as one detective suffers from memory loss, and the other detective is basically considered a queen to spirits in a supernatural genre world. They have interesting ways to approach and solve their cases, given their elements, and they are both fun to read. They also are manga that come from novel adaptations, so if you wouldn't like the manga, then maybe give the novels a try. 

The first mystery in "Do Not Say Mystery" is similar to how the assistant in "The Memorandum of Kyoko Okitegami" is suspected whenever he is involved in a crime. "Do Not Say Mystery" is more grounded in reality but both manga require the usual suspension of disbelief complicated mysteries do.