It could be about Harry deciding to take matters into his own hands in his fifth year at Hogwarts. Maybe he starts his own secret study group to learn advanced magic, away from Umbridge's interference.
Well, perhaps Harry decides to focus more on his own personal growth and magical skills. He might start exploring magic in his own unique way, away from the expectations of others.
Hermione would still likely be important. Even if Harry is doing his own thing, Hermione might try to keep him in line or offer her intellectual support.
In fanfic, Harry Potter may create his own world by exploring the boundaries of magic that were previously unknown. He might stumble upon ancient spells or magical artifacts that give him the power to shape a world. He could use his connection with his friends, like Hermione's intelligence and Ron's loyalty, to help him in this endeavor. For instance, they could research together in the restricted section of the library to find ways to create new magical laws and landscapes for his world.
Well, it could give Harry a sense of independence early on. He can have his own space to study magic without distractions from dorm mates. Maybe he can also hide things there that he doesn't want others to find, like some special magic items or books he discovers on his own.
Perhaps he barters with magical beings. He could offer his services in solving magical problems for them in exchange for rare building resources. For example, he might help a group of centaurs with a prophecy issue and in return, they give him enchanted wood or special stones. He may also get help from his friends who have access to different resources. Hermione might provide some rare books with building spells, and Ron could get some things from his family's old collection.
In fanfic, Naruto might create his own style by combining his unique jutsu. For example, he could blend his Rasengan with the Shadow Clone Jutsu in a new way. He may also draw inspiration from his friends and their techniques, like using Sakura's precision in his own combat style to make it more unpredictable.