 If you liked
Higurashi no Naku Koro ni
|
 ...then you might like
Amnesia
|
Repeat... repeat again... and again...
Both Anime utilize a storytelling idea utilizing alternate universes, but the stories unfolding in each transpire in a manner where the viewer is left wondering what happened - a mystery element, but each world has a different who-done-it to leave viewers intrigued.
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Recommended by Yemi_Hikari
Higurashi is not a reverse harem, but both have a time loop plot that is triggered by a death. Keep in mind Higurashi will show that gore that this show has decide to leave out in place of a soft hearted love story, it seems.
Both have a bit of mystery.