Well, Naruto could leave the village in a fanfic due to a prophecy. He might believe that leaving is the only way to fulfill a greater destiny that the village can't support. As he leaves, he starts to explore different cultures of the ninja world. He learns about new forms of jutsu and how other villages operate. He could also form a team with outcasts from different villages, and together they strive to change the way the ninja world views things.
Perhaps Naruto in the Anbu has a personal mission that goes against the village's orders. For example, he might befriend someone from an enemy village who is actually innocent but is being targeted by Konoha. When the village refuses to listen to his pleas, he decides to leave. He'll use his Anbu abilities to protect his new friend and find a new place where they can both be safe, away from the political drama of the ninja villages.
Perhaps Sakura leaves the village because she feels out of place. She might have had some falling - out with her friends or just doesn't feel like she belongs there anymore. So, she packs her bags and sets off on a solo adventure to find a place where she can truly be herself.
In this fanfiction, Naruto might be neglected not just by the villagers but also by some of his so - called friends. This heartbreak makes him leave. He then travels to different lands. Along the way, he meets an old hermit who teaches him ancient ninja techniques that are long forgotten in his village. With these new skills, he contemplates whether to return to the village and show them what they missed out on or to start a new life away from the place that has caused him so much pain.
Naruto might encounter a group of rogue ninjas. At first, they seem like enemies, but as he gets to know them, he realizes they have their own reasons for being outcasts. They could teach Naruto some unorthodox fighting styles that are not taught in the Leaf Village. Also, there could be a mysterious traveler who has knowledge about Naruto's family that even he doesn't know. This traveler could be the key to unlocking some hidden power within Naruto.
In one possibility, Naruto might leave the Leaf due to a misunderstanding. For example, if the villagers continue to show distrust towards him despite his efforts. He could set out on a journey to find a place where he truly belongs. Maybe he meets some new allies on his way, people who understand him without any prejudice.
He could feel a sense of guilt. Sasuke might think that his actions or their relationship issues pushed Naruto to leave. He may then set out to find Naruto, not only to bring him back but also to resolve their long - standing issues. For example, if there were unspoken words or unresolved fights between them, Sasuke would see this as an opportunity to set things right.
It could be a rogue Anbu member. This person might be jealous of Naruto's power and popularity within the Anbu. So, they spread false rumors about Naruto which lead to his decision to leave the village. This antagonist would then try to further harm Naruto while he's outside the village, using their own Anbu skills against him.
Well, one possible plot could be Naruto starting from scratch. He might first gather like - minded ninjas who share his vision of a new kind of village. Then, they'd have to find a suitable location, perhaps a place rich in natural resources but also defensible. Naruto would use his charisma and his own experiences in Konoha to create rules that are fair and inclusive. For example, he could ensure that all ninja clans, no matter how small, have a voice in village matters. And he'd probably want to establish a ninja academy that focuses not only on combat skills but also on things like diplomacy and understanding different cultures among ninjas.
In the sasunaru context, perhaps a rift between Sasuke and Naruto makes Naruto feel like he needs to leave to sort out his feelings. He might think that staying in the village constantly reminded of Sasuke and their complicated relationship is too much to bear, so he leaves to find his own path and hopefully reconcile with Sasuke on his own terms.
In a 'Naruto Namikaze leaves Konoha' fanfic, it could be that Naruto is framed for a crime he didn't commit. The villagers turn against him, and even his friends start to doubt him. Feeling betrayed and alone, he decides to leave Konoha. As he travels, he meets other outcasts who have also been wrongly accused, and together they form a group to clear their names and seek justice.