Please Save My Earth(1993)

Boku no Chikyuu wo Mamotte

Could a strange recurring dream of being part of a team of alien scientists on the moon truly be real? Sensitive Japanese high school student Alice Sakaguchi doesn’t really believe that, of course... until, one night, when she dreams the same dream! Now, even her eight-year-old neighbor is acting strange. Is history really doomed to repeat itself, even when that history carries over from a previous life...?

(Source: VIZ Media)