Kids movies so often bear little of the actual lived-in experience of growing up, but Yamada Naoko’s luminous anime “The Colors Within” gently reverberates with the doubts and yearnings of young life.

Totsuko is a high school student with the ability to see the 'colors' of others. Colors of bliss, excitement, and serenity, plus a color she treasures as her favorite. Kimi, a classmate at her school, ...