 If you liked
Angel Beats!
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 ...then you might like
Vivy: Fluorite Eye's Song
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Both of these animes use sound to strongly convey the feelings. While sound isn't the primary focus of Angel Beats, it helps to drive a lot of the emotions, just like in Vivy. If you're a fan of sad/bittersweet animes and a fan of a good soundtrack, both of these animes are great picks.