Over the past few years, the success of several films — including, most notably, Makoto Shinkai’s record-setting “Your Name.” — have proven that anime directed by someone other than director Hayao Miyazaki can still attract a wider audience.

Several films set for release this year are looking to continue that trend, while others are more clearly aimed at the hard-core anime fan base. One title in the former category is “Mirai no Mirai” (“Mirai of the Future”)(July 20), the highly anticipated new film from Mamoru Hosoda. With “Mirai,” the director of “Wolf Children” and “The Boy and the Beast” is back with his specialty: a film that uses sci-fi and fantasy to explore the theme of family. Will “Mirai of the Future” extend Hosoda’s long critical and financial streak?

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