 If you liked
Boku dake ga Inai Machi
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 ...then you might like
Vivy: Fluorite Eye's Song
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The only aspect I can recommend the two with is a literal one. It is time travel.
I suppose in anime, there is a means to use time travel as a device that either comes across as trying to be intelligent or one that uses the trope as a means to create unsuspected twists and turns. I can tell you now, that there isn't too much of that in Erased nor Vivy's Song.
There are a load of differences in Erased and Vivy's Song, as expected, but if you like a dedicated character, one that very much will do anything for the wellbeing of said other, you
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Recommended by NextUniverse
In both shows the plot revolves about travelling back in time to prevent some terrible event from happening. Though in Vivy the focus is more on the actual time travel and their timelines. Both are also short which makes it easy to binge watch!
Both of these shows focus on a similar concept of returning back in time years before the starting present of the show, in order to prevent a disaster and change the future, both shows share similar respectable quality and are both very captivating and interesting. While also remaining seperate from eachother with other genres and themes, Vivy being more action based, and Erased being more psychological.