There's a fanfic titled 'Escape and Rediscovery'. Female Harry Potter runs away after feeling betrayed by some of her so - called friends at Hogwarts. She travels far and wide, learning different forms of magic from various sources. It has a really unique plot and great character development.
One possible plotline could be that Harry runs away because he's tired of the constant danger at Hogwarts. He might find a hidden magical place where he can practice magic in peace and discover new spells on his own.
One idea could be that Fem Harry Potter runs away because she feels suffocated by the expectations placed on her at Hogwarts. She might head to the Forbidden Forest where she discovers a hidden magical community that has been living in seclusion. This new community could teach her different forms of magic that she was never exposed to at school.
Perhaps he'll meet a mysterious old wizard who lives in a secluded temple in the mountains. This wizard could be a master of ancient Japanese magic and could teach Harry about the spiritual side of magic that is deeply ingrained in Japanese culture. Harry might also meet a group of young Japanese witches who are training to become magical healers. They could share their knowledge of Japanese magical plants and how to use them for healing, which would be very different from the healing methods Harry learned at Hogwarts.
Hermione could be one of the main characters. She might be the one who tries to find Harry and bring him back. She would use her intelligence and knowledge of magic to track him down, all while worrying about his safety.
There's also 'Finding Freedom on the Run'. This fanfic delves deep into Harry's emotions as he runs away. He encounters various characters who help him understand his true potential. It has a great plot that keeps you hooked from start to finish. The author does an amazing job of portraying Harry's journey of self - discovery.
Maybe Harry runs away to America to escape the dangerous wizarding world in the UK. He could start a new life in America, perhaps meet new friends who are different from those in Hogwarts, and learn about American magic. He might also be hiding from some dark force that was after him in the UK.
Well, maybe Harry runs away to Canada because he's tired of the drama in his home country. He could be seeking a new start, away from all the chaos. In Canada, he might meet new friends who help him discover a whole new side of himself.