One possible deal Naruto could make with Kami in fanfiction is to ask for the safety of his friends. Naruto values his comrades highly. So, he might bargain with Kami to ensure that they are protected from all the threats in the ninja world. Maybe he would promise to spread Kami's teachings or uphold a certain code of conduct in return.
One consequence could be a change in Naruto's personality. If the deal involves taking on a great power, he might become more serious and less carefree. For example, if he has to constantly uphold Kami's rules as part of the deal, it could limit his usual impulsive but endearing behavior.
Maybe a magical amulet. This amulet could have special powers like protecting Naruto from genjutsu or enhancing his chakra control. Since Kami is a powerful entity in the Naruto universe, it makes sense for the gift to have some kind of extraordinary ability.
Yes, there might be such fanfictions. One possible plotline could be that Kami has been corrupted in some way and Naruto, in his sense of justice, has to take extreme measures. Maybe Kami starts to harm the village or its people, and Naruto, as the protector, has no other choice but to fight and end Kami's existence. Another could be that Naruto is tricked into believing Kami is a threat when in fact it's a misunderstanding created by an enemy.
One possible plotline could be that Kami, being a celestial being, is drawn to Naruto's unique spirit and determination. She might start observing him from afar and gradually fall in love as she witnesses his growth. Then she could find a way to interact with him, perhaps by taking on a human form.
Maybe it's a completely new and unknown kami. A kami created specifically for this fanfiction. This kami could have unique powers and a different view of the ninja world compared to the existing characters in Naruto. It would add a fresh and exciting element to the story.
Maybe it's an existing character from Naruto who has been elevated to Kami status. For example, Tsunade could be turned into a Kami, and Naruto's relationship with her could be a very different dynamic from their previous ninja - leader relationship. Or it could be Kaguya, who was already a very powerful being, and in this fanfiction, she reforms and becomes a Kami and Naruto's wife.
If it's well - written, with a good plot and interesting character development despite Naruto being evil, it could gain a decent following. However, there are also many fans who prefer to stick to the original positive image of Naruto, so its popularity might be somewhat limited.
One possible reason could be to correct some mistakes in the future. Maybe there were some events that led to a really bad outcome, like the destruction of the Hidden Leaf Village, and Kami thought sending Naruto back in time could prevent it. Another reason might be to give Naruto a chance to learn more about his predecessors and gain new powers or knowledge that could help him in his original timeline.
In fanfiction, the 'kami' could be an original deity created by the author. This new 'kami' could have its own motives and reasons for giving a gift to Naruto. Maybe it's a kami that has been observing Naruto's journey and decides to interfere to help him achieve a greater purpose. It could be a kami associated with nature, like a kami of the wind or the fire, and the gift could be related to that element.
One possible plotline could be centered around the concept of Kami (gods) and Yami (darkness) in the Naruto universe interacting with Shinigami (death gods). Maybe a powerful Kami from a different realm arrives in the Naruto world and brings with it the essence of Yami. This disrupts the balance, and the Shinigami have to get involved. The characters from Naruto, like Naruto himself, could be caught in the middle of this struggle between light and dark forces related to the Kami and Yami, with the Shinigami either helping or hindering them depending on the situation.