 If you liked
Cock Robin wo Korosu no wa
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 ...then you might like
Kamisama no Iutoori 2
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Well, for starters, both series focuses has a sense of game phenomenon where the players' lives are at stake. It starts off mysteriously and the main male protagonist quickly realizes that his life is in jeopardy after strange events.
Both series involves psychological themes and thriller like endings.
There is some twists in the series and the game is deadly as it is presented.
Both manga also involves some supernatural themes involving the way the murders happen. There is violence involved and along with that a sense of 'mindfuck' mixed together.