Baby and Me(1996)

Aka-chan to Boku

Two months ago, Takuya Enoki's mother passed away in an accident leaving him to take care of his baby brother, Minoru, while their father works the long hours of a Japanese "salaryman". Takuya must sacrifice playtime and childhood to take care of his brother and do the responsibilities an adult would have: cooking, sewing, and scolding while trying to find it in his heart to love the brother who is causing him so much grief.

(Source: Anime News Network)