If you liked
Higurashi no Naku Koro ni Kai
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...then you might like
Mahou Shoujo Madoka★Magica
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I was originally going to write yet another recommendation for Steins;Gate, but after a while I decided on recommending Higurashi Kai to PMMM instead. Here's why~ Well, both shows obviously use time travel as a major point of the plot. You can expect to see a character endlessly repeating the same sequence of events over and over again to attain a desired outcome in both. However, the reason why I didn't just point you guys to the ultimate granddaddy of time travel anime, Steins;Gate, was because both Higurashi Kai and PMMM have a "mysterious" feeling to them. Both give you an uneasy feeling, which is supported by kawaii artstyles and adorable characters, with some seriously provoking themes in the background. Couple this with some immensely satisfying endings, and you have two very similar anime. If you like one, watch the other. If you haven't seen either, you're missing out on some great stuff here.