The plot of My Hero Academia focuses on Izuku Midoriya, aka Deku, a teenager that lives in a world where more than half the population has superpowers, aka "Quirks". Some people even use their powers to become Superheroes. Since a young age, Izuku always wanted to become a Superhero like his favorite idol, All Might, but unlike his friends and most of the population, Izuku never developed a "Quirk". However, he isn't the type to easily give up, and despite being powerless, he will still chase his dream of attending U. A. High School, a school for future Superheroes.
Soul Eater is a story set in Death City, where many evils exist and can only be dealt with "Death Scythes". These "Death Scythes" are humans who can transform part of their bodies into a Demon Weapon. They get trained in a technical academy called Death Weapon Meister Academy. However, to become a Death Scythe, one must collect the 99 evils souls and one witch's soul, which is exactly what Soul Eater Evans must do if he hopes to achieve his goal.
This anime's high school plot and ultimate goal to become something more are very similar to MHA, yet the supernatural storyline is very different. Regardless, fans of the superhero genre will still enjoy this anime.
One Punch Man is a story about Saitama, a boy who trained for three years to achieve his lifelong dream of becoming a hero. Although he achieved his goal, his plan backfired when he became so powerful that one punch was enough to destroy his enemies. Saitama, who has become bored with his talent, meets a cyborg named Genos. Genos gives Saitama a new purpose by becoming his disciple. The two of them also embark on a journey to become a member of the Hero Association.
This anime is similar to My Hero Academia because of its superhero concept and the fact that, like Deku, Saitama fights mostly with his fists and both are known for their powerful punches. Fans of action-packed Shonens will enjoy this comedic anime series.
Little Witch Academia's premise is a lot like My Hero Academia. Akko lives in a world where magic and witches exist, but like Deku, she is also one of the rare people to be born without her "powers" or, in this case, without any magic. As a child, she attended a magic show by her favorite idol and witch, Shiny Chariot, and ever since then, she wished to follow in her footsteps. She eventually attends Luna Nova Magical Academy, a prestigious school for future witches despite not having magic.
Fans of My Hero Academia would love the concept of a "powerless" or "magic-less" character who won't stop chasing their dreams until they make them a reality would definitely love this lighthearted and comedic anime.
Black Clover is similar to both MHA and Little Witch Academia in terms of their concepts and plots. The story follows Asta and his brother Yuno, who lives in the Clover Kingdom, a world where magic exists. Their world is ruled by the Wizard King and nine groups of Magic Knights, who ensure that peace reigns. Asta and Yuno's dream is to become the next Wizard King of their generation. Like Deku and Akko, Asta is the one in this story to be magic-less, unlike his brother, who has the talent to control wind magic. Asta is envious, but like the other protagonists of the same anime genre, he will persevere and find a way to achieve his goal.
Black Clover is another action-packed anime filled with comedic moments and hardships. Fans of the iconic "weak protagonist who eventually isn't anymore" trope will love this anime. Furthermore, the English voice actor for Deku, Justin Briner, voices a secondary character in this anime called Luck Voltia, which fans may find interesting.
Fire Force is an anime set in Tokyo where a series of spontaneous Human Combustions keeps endangering the lives of civilians by transforming them into violent monsters called "Infernals". Three generations later, some humans were able to harness that combustion within them and become pyrokinectics (people with fire abilities). Shiran Kusakabe can ignite his feet at will and wishes to use his powers for good by joining The Fire Force.
Fire Force is another anime that focuses on future heroes and their journeys to becoming the best version of themselves.This anime resembles My Hero Academia due to Shiran's similarity with Deku. Both characters utilize the power they have in their feet and legs to defeat their enemies.