 If you liked
Utsuro no Hako to Zero no Maria
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 ...then you might like
All You Need Is Kill
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+ A time period of just over a day repeats inifinity and ends each time with someone dying before everything is reset with most people not realizing the repetition is happening
+ The character who remembers every repetition uses that to gain knowledge and skills as they try to find a way out of the repetition
- Hakomari is a novel series and has more than just the repeated schoolday while Kill is a manga that involves humans fighting against alien-like creatures for survival
Both of these feature storyline in which the protagonist is stuck in a time loop and has to figure out a way out through trial and error and repeated dying.
both contain time loops and portrays the effects of repeating the same day on one's mind in an intriguing way.
Zeroth maria is more psychological in nature and focuses on human desires and their interpersonal relationships whereas kill is more battle oriented.
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Recommended by Buff_p0tat0