If you're looking for anime similar to Ace wo Nerae! Movie, you might like these titles. All recommendations are made by Anime-Planet users like you!
In the early 21st century, insectoid organisms are invading the galaxy, searching for new stars to house their young. Mankind's only defense lies with space cadets such as Takaya Noriko, daughter of a celebrated admiral killed in battle, and Amano Kazumi, the top of her class. With their skill and the power of the mecha known as GunBuster, the girls must help fight to protect the galaxy from total annihilation...
Gunbuster is, in a quite a few aspects, an outright tribute to Ace wo Nerae!, and the sports theme is prevalent there as well, despite it being a mecha anime.
Both anime focus on a highschooler that is taken under the wing of a coach with rather weird methods, but they will produce results as long as they're willing to give it their all. They're both with a distinct visual style, and especially Gunbuster is a feast for the eyes (anime had developed a lot during the 15 years that passed between these two titles).
If you liked either I believe that you would do well to check out the other one, especially if you've a more historical interest as well.
Since General de Jarjayes of France’s Royal Guard always wanted a son, he brings up his only daughter Oscar to dress, fight, and behave like a man. When Oscar’s excellent swordsmanship wins her the honored position as bodyguard to Louis XVI’s new bride, Marie Antoinette, the Jarjayes household believes it can finally be proud. However, what nobody realizes is the pit of thorns the royal court in Versailles has become – with all its excessive opulence, it attracts not just those with status and wealth, but also those with ruthless ambition. To confound matters, Marie Antoinette turns out to be an airhead whose selfish actions are turning the starving population against her. Amidst the sordid schemes and terrible tragedies, and with the tide of history sweeping against the nobles, can Oscar protect her new King and Queen whilst upholding justice for the oppressed peasants of France?
Both are Dezaki anime from the '70s, and both are adaptations of a shoujo manga from the very same decade. Needless to say, there is a lot in common: female protagonist that has some unusual quality going for them, lots of melodrama and overacting, and very similar visual styles.
If you liked either one of these due to any of that, I can readily suggest that you watch the other series as well.