Fanfiction could explore their relationship through time - travel. For example, Naruto travels back in time and meets a young Itachi. He then tries to prevent the tragedies that befell Itachi and the Uchiha clan. This would completely change their relationship as Naruto becomes a guiding figure in Itachi's early life.
Another unique way is by giving them a common enemy that is not from the Naruto universe. Maybe an otherworldly threat that only their combined skills and understanding of each other can defeat. This forces them to communicate on a deeper level and rely on one another in ways they never had to before in the original story.
A way is by having them switch roles. Naruto could be the one with the burden of a dark secret like Itachi had, and Itachi could be the one trying to bring Naruto back to the light. This role - reversal can show a different side of their personalities and how they interact.
Fanfiction often delves deeper into their emotional bond. For instance, it might show Naruto confiding in Kurama about his insecurities more than he did in the original story. This can create a more intimate and complex relationship between them.
It could show Minato experiencing Naruto's loneliness as a child first - hand when in Naruto's body. This would make Minato understand Naruto's pain on a deeper level. Then, when Naruto is in Minato's body, he could see how much his father was respected and loved, which would strengthen their bond in a new way.
In Naruto fanfiction, the friendship between Naruto and Itachi is often a complex and fascinating exploration. Itachi, being from the Uchiha clan and having his own dark secrets, contrasts with Naruto's bright and determined personality. Some fanfictions might show Itachi seeing in Naruto a hope for the future of the village, which could be the basis of their friendship. Itachi might secretly guide Naruto in some ways, knowing Naruto has the potential to change things for the better in the Hidden Leaf Village.
One unique way to develop their relationship is through art. In the fanfiction, Naruto could have the ability to draw out Kurama's chakra in a new form using his own creativity. This would be a new way of interacting that combines Naruto's love for art and his connection to Kurama. As they explore this new form of chakra manipulation together, their bond deepens.
Their relationship could be developed through a series of flashbacks. For instance, Itachi could recall moments from Naruto's childhood that he observed while in the ANBU. These memories could make him see Naruto in a new light. Meanwhile, Naruto could learn about Itachi's past and the sacrifices he made. This exchange of knowledge could build a bond between them based on empathy and respect. In addition, they could train together in secret, with Itachi teaching Naruto some of his ANBU skills, which would also strengthen their relationship.
They could develop a mentor - mentee relationship. Itachi uses his knowledge of the Sharingan to teach Naruto new combat techniques. As they train together, they bond over their shared experiences of loss and their desire to protect the people they care about. Naruto might also help Itachi come to terms with his past actions and find some peace within himself.
At first, Itachi may see Demon Naruto as a threat to his goals or the ninja world. However, as they interact more, Itachi realizes that Naruto's demon form is not entirely evil. He could start to mentor Naruto on how to use his powers for good. In return, Naruto, with his unwavering belief in people, could make Itachi question some of his own actions and beliefs, leading to a complex and evolving relationship.
Some fanfics might explore their relationship by giving them a shared mission. They have to work together to save the village or something similar. During this mission, they get to know each other better, not just as mother - son but as comrades. They learn about each other's strengths and weaknesses, which deepens their bond in a very unique way.
One way is by exploring their cultural differences. Vegeta is from an alien race with its own values and traditions, while Bulma is an Earthling. The fanfiction could show how they introduce parts of their respective cultures to each other and how that enriches their relationship.
They explore it through different adventures. For instance, when they are on a mission together in a fanfiction, they might have to rely on each other in ways they haven't before. This can lead to a deeper understanding between them.