In a Naruto and Tsunade time travel fanfic, they might travel to a time when the Uchiha clan was at its peak. Naruto could try to prevent some of the tragedies that befell the clan later. Tsunade, with her strength and wisdom, could help in diplomatic efforts. For example, she could work with the clan leaders to improve relations between the Uchiha and the rest of the village. This would not only change the future for the Uchiha but also for Naruto's own life as he has a deep connection with Sasuke, an Uchiha. And Naruto could learn new jutsu from the powerful Uchiha of that time, further enhancing his own skills.
A time travel fanfic involving Naruto and Tsunade could see them going back to a time of great war in the ninja world. They would be faced with the harsh realities of that era. Naruto's ideology of peace and friendship would be put to the test. He might have to fight in battles where the rules were different. Tsunade could use her medical skills to save lives on a large scale. Their presence in the past could also lead to changes in the power balance. Maybe they form alliances with ninja from different villages that were previously unthinkable. This would create a ripple effect that would change the course of history in the ninja world and ultimately their own world when they return.
One possible plot development could be that Tsunade trains Naruto more intensively in medical ninjutsu. Since she's his grandmother, she might feel a stronger obligation to pass on her skills.
Well, in this fanfic, Naruto could start to heal from his past neglect. Tsunade might introduce him to different aspects of the ninja world that he was previously unaware of. For example, she could take him on diplomatic missions to other villages, which would expand his understanding of international relations among ninja clans. In terms of his growth as a ninja, Tsunade could also help him master some of the more advanced medical ninjutsu. This would not only make him a more versatile shinobi but also give him a new skill set to rely on in combat. And of course, their relationship could also face challenges, like when Tsunade has to make difficult decisions regarding the village that might put Naruto in a tough position.
One possible plot idea could be that Naruto has achieved some great power or status, and Tsunade, who is usually strong - willed, is in a situation where she has to be submissive to Naruto for the greater good of the village. For example, Naruto might have discovered a new threat and has a plan to deal with it, but Tsunade needs to follow his lead.
Maybe they travel back to a time when Tsunade was just starting to develop her medical ninjutsu. Naruto, with his understanding of modern medical knowledge (from Sakura perhaps), could help her make great leaps in her medical skills. They could also team up to deal with a powerful enemy that was a threat at that time. Naruto's strength combined with Tsunade's budding abilities would make for an exciting story.
One idea could be a story where Naruto seeks Tsunade's help in mastering a new medical ninjutsu. Since Tsunade is a master in medical ninjutsu, she could take Naruto under her wing. This would not only strengthen Naruto's skills but also create a great bond between them. They could go on missions together related to healing injured ninjas in the war - torn areas.
One possible plot development is that Tsunade could step up her efforts in uniting the other villages. Since Naruto was a symbol of hope and unity, his death might prompt Tsunade to work even harder to prevent further chaos among the ninja villages. She could initiate more diplomatic meetings and treaties to ensure peace in Naruto's memory.
Another plot could involve Naruto accidentally stumbling upon Tsunade's secret past. Tsunade initially tries to keep it from him, but Naruto's determination to understand and help her makes her open up. This could then develop into a story of trust and growth for both of them.
One idea could be Tsunade traveling back to the time when the Hidden Leaf was first founded. She could use her medical and combat skills to help the early settlers deal with diseases and threats from other villages. Another plot could be her going back to the time of the Third Great Ninja War and changing the fates of some of the fallen ninjas with her knowledge of future events.
Another plot could be that Tsunade has a long - lost relative who Naruto befriends. This relative could have a special ability that Naruto helps develop, and in the process, it brings the two families closer together. For example, the relative might have a healing ability that Naruto helps enhance with his own chakra control.
Naruto could develop more maturity under Tsunade's influence. Tsunade, being an experienced and strong - willed character, can teach Naruto how to better control his emotions in difficult situations.