Another plotline could be a more psychological exploration. Orochimaru has always been a bit of an enigma, and his love for Naruto could be a way to explore his own humanity. Maybe he has a change of heart because of Naruto and starts to question his past actions. This could lead to a journey of self - discovery for Orochimaru, while Naruto is left to figure out how to deal with this new side of his old enemy.
Yes, there are quite a few. You can start by looking on popular fanfiction websites like Fanfiction.net or Archive of Our Own. Some might explore Orochimaru's complex relationship with Naruto in unique ways, such as Orochimaru seeing Naruto as a key to some kind of power, but then developing an unexpected emotional bond.
A possible plotline could be Orochimaru's redemption. He realizes the error of his ways and joins Naruto in protecting the ninja world. He could use his vast knowledge of jutsu and forbidden arts to help Naruto against new threats.
One possible plotline could be Naruto being forced to serve Orochimaru due to some sort of blackmail or threat against his friends in Konoha. Maybe Orochimaru has some information that could endanger Naruto's loved ones if he doesn't comply. Another aspect could be Naruto initially pretending to serve while actually trying to find a way to take Orochimaru down from the inside. This would add an element of mystery and deception to the story.
Perhaps Naruto starts to have a connection to Orochimaru's other experiments or creations. He might find himself in a situation where he has to either help or fight these other 'products' of Orochimaru's mad science. Also, the fanfiction could explore how Naruto's friends react to what has happened to him. Do they trust him still? Or are they afraid of what Orochimaru might have turned him into?
Well, in such a fanfic, a plotline might involve Naruto's friends trying to rescue him. They could discover Orochimaru's lair where Naruto is being experimented on. Meanwhile, Naruto himself could be developing new and unexpected powers as a result of the experiments, which he then has to learn to control. And there could be a race against time for Naruto's friends to reach him before Orochimaru's experiments cause irreversible damage.
One possible plotline could be Naruto being captured by Orochimaru and forced to endure various genetic experiments. Maybe Orochimaru is trying to extract the power of the Nine - Tails from Naruto in a more invasive way. Another could be that Naruto's friends, like Sasuke and Sakura, attempt a daring rescue mission while Naruto is in Orochimaru's clutches and they face off against Orochimaru's minions.
Well, perhaps there's a plotline where a powerful enemy threatens both Naruto's world and Artemis' domain. Naruto and Artemis have to team up to fight this common foe. During their time together, they learn about each other's cultures and powers, and Naruto falls in love with Artemis. Or it could be that a magical accident causes Naruto to be transported to the time of the Greek gods, and he meets Artemis there. His unique abilities and kind heart make him stand out to her, and love blossoms between them.
Another plotline could be that Orochimaru is forced to train Naruto. Maybe the Hidden Leaf Village has some sort of leverage over Orochimaru. During the training, Naruto discovers some dark secrets about Orochimaru's past and his experiments. This knowledge could help Naruto in his future battles not just against Orochimaru if he turns on him, but also against other enemies who might have similar ideas. Naruto might also gain some new physical abilities from Orochimaru's training, like enhanced speed or strength.
One possible plotline could be Naruto slowly realizing his feelings for Ino as they go on missions together. He might start noticing little things about her, like her determination and beauty. Another could be that Ino is initially in love with someone else, but Naruto's unwavering love and loyalty gradually win her over.