Yes, there are quite a few. You can start by looking on fanfiction websites like Archive of Our Own. Some fanfictions in this category explore complex relationships between Snape and Harry Potter, often delving into themes of redemption, mentorship, and unexpected alliances.
Often, you'll see plotlines where Snape's desires are tied to his need for redemption. He may see Harry as a way to atone for his past mistakes. Some fanfictions also explore a more emotional connection between them, like Snape becoming a father - figure to Harry in a way. This can involve Snape teaching Harry more about the wizarding world from his own unique perspective. There are also plotlines where Snape and Harry work together to uncover secrets about Harry's past or Hogwarts itself.
In many fanfictions, Snape's 'forbidden desires' regarding Harry might be complex emotions. It could be rooted in his own tortured past and his sense of duty. Some fanfictions might explore how Snape sees Harry as a connection to Lily, and his desire to protect Harry could be misconstrued as something more. However, this often goes against the canon in many ways as Snape's main focus in the original series was his love for Lily and his role in the fight against Voldemort.
One common theme is the exploration of forbidden love. Since Snape and Harry have a rather complicated relationship in the original series, the fanfiction often delves into the idea of them overcoming their differences and past animosities in the name of love. Another theme could be self - discovery for Harry. Realizing his feelings for Snape might make him question his own identity and how he views relationships.
Well, Archive of Our Own (AO3) is probably the best bet. They have a very user - friendly search function. Just type in 'Snape desires Harry' and you'll get a bunch of results. Another place could be Wattpad, although it has a more mixed collection. But if you dig a bit, you might find some interesting 'Snape desires Harry' fanfictions there.
One popular one could be 'The Unspoken Bond'. In this fic, Snape's complex feelings towards Harry are explored in a way that delves deep into his psyche. It shows how his desire for Harry's success, in an odd way, is intertwined with his own past traumas and his need for redemption. Another is 'Snape's Hidden Intentions' which focuses on Snape's unspoken desires in the context of protecting Harry from the darker forces at Hogwarts, while also struggling with his own internal battles.
In some fanfictions, Snape might use his advanced knowledge of potions to create a special concoction to heal Harry. He could draw on his skills in Herbology as well to find rare ingredients for the potion.
The idea of 'dark desires' in Harry Potter fanfic can also be related to relationships. There could be a character who has a 'dark desire' for someone they shouldn't be with, perhaps due to family feuds or different social standings in the wizarding world. This creates complex and often dramatic relationship dynamics within the fanfic.
One more to consider is 'Snape: Beyond the Surface'. In this story, the author explores Snape's relationships with other characters like Dumbledore and McGonagall. It shows how his interactions with them were not always as straightforward as they seemed in the original books and adds more depth to his character.
One great Snape fanfiction is 'The Prince's Tale Redux'. It delves deeper into Snape's relationship with Lily. It shows his internal struggles and how his love for her influenced his actions throughout the series. It gives a more in - depth look at his character than what was shown in the original books.