One possible plotline could be Naruto feeling extremely lost and having to find his own way to become stronger without their guidance. He might start to question his own worth and abilities, but then he could meet new allies who help him realize his true potential on his own. For example, he could encounter some other outcast ninja who have their own unique skills and together they form a new kind of ninja team that challenges the traditional ways of the ninja world.
Another plot could be that Naruto goes on a journey to find Tsunade and Jiraiya to understand why they abandoned him. Along the way, he discovers secrets about his parents and their relationship with Tsunade and Jiraiya. This could lead to him uncovering a bigger conspiracy in the ninja world that was the reason behind their actions. Maybe it has something to do with an ancient prophecy or a power struggle within the hidden villages.
A great plotline could be the family - like bond that forms between them. Jiraiya, being like a father figure, and Tsunade, like a mother figure, they could have Naruto experience a more stable family life. This could lead to Naruto having different emotional growth. He might become more confident not just in his ninja skills but also in his relationships. Also, they could help Naruto discover more about his parents through their own memories and knowledge.
One possible scenario in this fanfiction could be that Naruto grows up with a more balanced upbringing. Tsunade might teach him medical ninjutsu and how to control his emotions better. Jiraiya, on the other hand, would surely train him in powerful combat techniques and in the ways of the sage. Naruto would probably be more mature and well - rounded at an earlier age, with a combination of Tsunade's tough love and Jiraiya's adventurous spirit guiding him.
One possible plotline could be that Naruto discovers a new form of chakra control that gives him an edge over Tsunade. He uses this to take charge in a dangerous mission where Tsunade was initially leading.
Naruto may also develop a darker side to his personality. The abandonment could make him feel betrayed and angry. He might struggle with controlling his emotions, especially his anger. However, this could also lead to him learning how to channel that anger into power in a more controlled manner, like he did with the Nine - Tails' chakra, but in a more refined way.
Well, if there is such a fanfiction, perhaps there's a plot where some sort of magic or jutsu affects their minds. Naruto might be under a spell that makes him see Tsunade in a romantic way, and Tsunade, being affected by a similar or related jutsu, reciprocates. And so, in this strange situation, they end up in a situation where they'sleep together'. But this is all just speculation based on what could be in a very unorthodox fanfiction.
Sakura might be worried about Naruto. She could try to comfort him and encourage him not to give up. She might also be angry at Jiraiya for abandoning Naruto, seeing how much Naruto has been through already. Kakashi, on the other hand, would probably step in more as a mentor. He has his own way of teaching, and he'd want to make sure Naruto doesn't go astray.
In this fanfiction, their relationship would be transformed. They would be like a married couple in a way, but without the formalities. Jiraiya would probably tone down his womanizing ways as he has a family to think about now. Tsunade would be more open and less prickly around Jiraiya. They would bicker less and cooperate more. Their relationship would be centered around Naruto, and as he grows, they would grow together as a family unit, with their bond getting stronger over time.
Maybe in the fanfiction, Obito makes a deal with an enemy that Naruto sees as a betrayal. So Naruto, with his strong sense of loyalty to the village and his friends, decides to abandon Obito. This could lead to a series of events where Obito tries to redeem himself in Naruto's eyes.
There could be a 'naruto kills jiraiya fanfiction'. It could be based on a time - travel scenario. For example, if Naruto from the future travels back in time and somehow his actions cause a chain of events that lead to Jiraiya's death. Or perhaps there's a dark, alternate universe where Naruto's values are twisted and he sees Jiraiya as an obstacle to his new, malevolent goals and thus kills him.
One possible reason could be a misunderstanding. Maybe Naruto overheard some false information about Jiraiya and Tsunade that made him think they had wronged him or someone he cared about. For example, if he heard they were involved in a plot that led to the death of a fellow villager, it could turn his feelings sour.