 If you liked
Full Moon wo Sagashite
|
 ...then you might like
Futatsu no Spica
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Full Moon wo Sagashite and Twin Spica are two anime from the early 2000s that feature a young schoolgirl with a very passionate dream as the main protagonist. She is able to see a character(s) older than her who helps her and cannot be seen by anyone else, and she lost her mother soon after she was born. Both anime can be quite dramatic and even downright tragic.