It could also be that they run away to pursue a personal goal. Naruto has always wanted to find a way to truly bring peace to the ninja world and Sakura believes in his vision. So they run away from the village to seek out a powerful jutsu or a long - lost artifact that could change the fate of the ninja world for the better.
It could be that Naruto and Temari run away because of a misunderstanding. The village leaders think they are traitors. But in reality, they are on a secret mission to stop an evil force that is about to attack both of their villages. They run away to gather allies and resources in secret, and during their journey, they face many difficulties that test their friendship and determination.
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.
One possible plot could be that they run away to avoid a political marriage arranged for Naruto. They find a peaceful, hidden village where they start a new life. Naruto uses his skills to hunt and Hinata uses her Byakugan to forage for food and keep watch for any potential threats.
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.
One possible plot twist could be that they run off to a hidden village that is not known to the main ninja world. There, they discover a new type of chakra that has the power to heal any wound and bring back the dead. But this new power also has a dark side that attracts the wrong kind of attention from other ninja clans.
Perhaps she is being chased by some unknown enemies in Konoha who are after her for some reason. She might think that running away from Konoha is the only way to protect herself and those she cares about. It could also be that she has a new mission or purpose that she believes can only be achieved outside of Konoha, and she is willing to sacrifice her life in the village for it.
One consequence could be that his friends worry about him a great deal. They might go on a search for him, which could put them in danger as well. After all, they care about Naruto deeply and won't just let him disappear without trying to find him.
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.
It could also be due to a particularly bad encounter with someone in the village. For instance, if he was bullied severely by some older kids and he felt that there was no one to protect him. He might have thought that running away was his only option to avoid further harm.
One possible fanfiction could be where they run away to avoid a false accusation in the village. They might head to a far - off land, discover new powers, and form a stronger bond. In this story, they face many challenges together, like dealing with strange creatures and harsh terrains.