 If you liked
Angel Beats!
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 ...then you might like
Steins;Gate
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Shows that introduce you to the characters through comedy, then show you how they deal with drama and matters of life and death.
Both shows involve supernatural elements and as the plot progresses the audience finds themselves growing more and more fond of the characters as they are further developed. They both have extremely hard-hitting emotional moments involving these characters, and they both have very satisfying plots. In addition, both of these shows are masterpieces in my book. Definitely watch one if you have seen and enjoyed the other!