One possibility in 'Percy Runs Away Fanfiction' is that Percy runs away because he is being hunted. There could be a powerful enemy after him, and he decides that running away is the best way to keep his loved ones out of danger. So he leaves his home and goes into hiding, maybe in a far - off land or a hidden magical place, and while he's away, he has to learn to survive on his own and also figure out how to defeat the enemy that's chasing him.
One possibility for the 'percy runs away fanfic' is that Percy runs away to protect his loved ones. He realizes that there is a danger approaching and he thinks that by leaving, he can draw the danger away from those he cares about. So he sets off on his own, facing many challenges along the way, and in the process, he might discover new powers or abilities within himself.
He might first find a place to hide, like an abandoned building. There, he starts to realize how difficult it is to be on his own. He has to find food and water by himself.
Obviously, Percy would be the main character. But there could also be his friends who might be trying to find him after he runs away. For example, Annabeth could be a major character in the story as she would be worried about Percy and use her intelligence to track him down.
Perhaps he was influenced by some new friends he met who had a different lifestyle or view of the world. They might have convinced him that running away from home was an exciting adventure and a way to break free from the restrictions at home.
Well, perhaps Luigi runs away because he's tired of living in Mario's shadow. He might decide to explore new lands on his own, meet new characters, and have adventures that are just about him, not always being the sidekick.
Perhaps Ash runs away after an argument with his friends. He feels like they don't understand him. He runs off to a beach town where he meets a mysterious old trainer. The old trainer tells Ash stories of his own past adventures and failures. Ash realizes that running away isn't the solution and decides to go back to his friends, with a new perspective on their relationships.
One possible plot could be that Mal runs away to escape some kind of danger in her world. Maybe there's a powerful enemy after her and she decides the best option is to flee and find a safe haven. She might encounter new friends or allies during her journey who help her face her fears and the threats.
One possible plot could be that Naruto and Sasuke run away to find a place where they can train without the interference of the Hidden Villages. They might be on a quest to become stronger together, away from the prying eyes of their respective villages which have different expectations of them.
In this fanfiction, Naruto might run away to Iwa because he feels misunderstood in Konoha. Maybe he discovers some secrets related to his family that make him think Iwa has the answers. He could face many challenges on his way there, like avoiding capture by Konoha ninjas who think he's a traitor.
In this fanfiction, it could be that Lucy is part of a society with strict rules about pregnancy out of wedlock. She runs away pregnant to avoid the shame and punishment that would come her way. As she runs, she might meet other outcasts who support her. She then has to figure out how to survive, find medical care for her pregnancy, and create a future for herself and her baby.