Another plot could be that they run away because they are disillusioned with the way things are in their community. Percy and Thalia might not agree with the rules or the leadership. So they decide to run away and start their own little 'society' in the woods. They could meet other outcasts along the way and form a unique group. They would have to figure out how to govern themselves and deal with any challenges that come their way, like wild animals or other groups that don't like their presence.
Perhaps they run away to find a missing person or an important object. They get a lead that the person or object is in a far - off land. So without waiting for permission or help from their usual allies, they set off. On their journey, they face many obstacles, including difficult terrains and mythical creatures. But their determination to find what they're looking for keeps them going. They also grow closer as friends during this time, learning to rely on each other more than ever.
One possible plotline could be that Naruto and Gaara run away to avoid a false accusation in their villages. They might journey together, facing various challenges like harsh terrains and lack of supplies. Along the way, they could bond over their shared experiences of being outcasts in the past. Naruto might use his optimism to keep Gaara's spirits up, and Gaara could use his sand powers to protect them from potential threats.
Maybe they run away because of a prophecy that involves both of them. They initially don't trust each other but as they journey together, they realize they need to rely on one another. For example, Draco might use his family's knowledge of some hidden magic that can help them stay hidden, while Hermione uses her intelligence to decipher clues about the prophecy. Along the way, they encounter other outcasts from the wizarding world who join them in their quest. This could lead to a new kind of community being formed, away from the traditional Hogwarts - based society.
One possible plotline could be that they run away to escape the complex vampire politics in their world. Maybe they find a secluded place, like a remote island, and try to build a life there. They might face challenges such as hiding their presence from other vampires and dealing with their own internal struggles about leaving their families and friends behind.
One possible plotline could be that they run away to avoid a false accusation in their village. Maybe they are framed for a crime they didn't commit, like stealing a powerful and dangerous jutsu scroll. Naruto, being impulsive, decides they need to leave to clear their names on their own terms. Neji, with his logical thinking, plans their escape route. Gaara, who has his own experiences of being misunderstood, joins them. Along the way, they face various challenges like being chased by ninja squads from their villages and having to survive in the wild.
Perhaps Itachi is being hunted by rogue elements of his own clan who don't agree with his past actions, and Naruto gets caught up in it while trying to protect Itachi. Naruto, being the protagonist, would see the good in Itachi and believe that he doesn't deserve to be killed. So they run away together, and during their journey, Itachi starts to train Naruto in some of the more advanced and secret Uchiha techniques, which in turn helps Naruto become even stronger.
In some fanfictions, a love triangle could be involved. For instance, there could be another character who also has feelings for either Percy or Thalia. This creates tension and conflict, which in turn makes their journey to falling in love more complex. They have to overcome jealousy, misunderstandings caused by the third party, and also figure out their own feelings while dealing with external pressures.
One possible plotline could be that Percy, Thalia and Nico are betrayed by their closest friends within the demigod community. Maybe they are framed for a crime they didn't commit, like stealing a powerful artifact. This could lead to them being hunted by their own kind. They would then have to go on the run, trying to clear their names while also facing various monsters that are after them because of the false accusations.
Maybe Naruto runs away from the Sharrigan because he is framed for a crime he didn't commit. The Sharrigan - wielding enemies believe he has done something wrong and he has no choice but to flee. As he runs, he meets new allies who help him clear his name and also understand the true nature of the Sharrigan better.
One possible reason could be family pressure. In the Weasley family, there are high expectations and a lot of chaos. Percy might feel suffocated and decide to run away to find his own path. Maybe he's tired of always being in the shadow of his more popular siblings and wants to prove himself on his own terms.
One reason could be his ambition clashing with his family values. Percy is often very career - driven in the original story. Maybe in the fanfiction, his pursuit of success at the Ministry of Magic leads him to make decisions that isolate him from his family, ultimately causing him to run away. For example, he might be given an important assignment that goes against the Weasley family's stance on certain magical politics.