There are indeed some. However, the quality can vary greatly. Some focus more on the romantic aspect between Naruto and Konan, while others might try to incorporate more of the Naruto universe's elements like the ninja clans and jutsus into the relationship. It's all about finding the one that suits your taste.
A very common theme is the discovery of each other. Naruto discovers a different side of Konan that no one else has seen, and vice versa. This mutual discovery leads to the growth of their relationship. There's also the theme of sacrifice. They might be willing to sacrifice things for each other, like Naruto's dream of becoming Hokage or Konan's loyalty to the Akatsuki in some stories, to be together.
Love triangles are a common theme. Since it's a harem concept, there are often situations where Naruto has to choose between Konan and other characters who have feelings for him. Another theme is power dynamics. Naruto is a very powerful character, and how his power affects his relationships within the harem, especially with Konan, is often explored.
Well, it might be because the Naruto x Konan relationship is not as straightforward as some of the other pairings. It's not something that was really hinted at strongly in the original anime or manga. Also, most fans are more interested in the main story arcs and the pairings that are directly related to those arcs. Since Naruto x Konan doesn't really fit into those main storylines in an obvious way, the fanfiction for it is often neglected. For example, Naruto's relationship with Sasuke was a major focus, and so fanfictions related to that are more popular.
One common theme is redemption. They often go back in time to correct past mistakes, whether it's Naruto trying to save someone who died in the original timeline or Konan trying to change the fate of her village. Another theme is the exploration of their relationship. Time travel gives them a chance to interact in a different context, and often fanfictions explore how they fall in love or become closer friends.
One could be 'The Unseen Bond' which delves into the untapped relationship between Naruto and Konan. It might show how they could have interacted more in a world where the main plot didn't overshadow their potential connection. Another could be 'Konan's Hidden Support for Naruto' where Konan secretly aids Naruto in his battles and growth, a story that often gets overlooked in the mainstream fanfiction world.
Konan often develops her combat skills further in fanfictions. She might learn new jutsu or improve her existing ones through her interactions with the Akatsuki. Also, her emotional side develops as she deals with the complex relationships within the group. She could go from being a bit cold and distant to showing more vulnerability and warmth, like in a story where she has to rely on a fellow Akatsuki member during a tough mission and this changes her view of relationships.
A good one is 'Naruto and Konan: Allies in the Shadows'. Here, they start as unlikely allies but gradually grow to trust and rely on each other. The fanfiction has some great fight scenes and also shows the development of their bond outside of combat situations.
One idea could be that Naruto, with his unique charm and strength, gradually attracts Konan and other characters into his 'harem'. For example, they could go on adventures together, facing various threats in the Naruto universe, and during these experiences, their relationships deepen. Naruto could use his ninja skills to protect them, and they in turn offer different forms of support, like Konan using her paper abilities for strategic advantages.
Naruto would probably be more popular. He has that outgoing and friendly personality that draws people in. He'd be the kind of guy who is always involved in school events and is friends with everyone from the jocks to the nerds.