Another option is to ask other Harry Potter fanfiction enthusiasts. You could join some Harry Potter - related forums or groups. There are usually experienced readers who have a wide range of knowledge about different types of fanfictions. They might be able to point you in the right direction and tell you about some great stories with this particular plot.
Yes, there are some fanfictions with this concept. It's an interesting take on the Harry Potter universe as it flips the typical relationship between Harry and Voldemort. In these fanfictions, the story often explores how Voldemort's actions change when he takes on the role of an adoptive figure to Harry, who has been abused. It can lead to some really unique character developments and plot twists.
One popular one might be 'Voldemort's New Heir' where Voldemort discovers Harry's abused situation and decides to take him in for his own purposes. He starts to train Harry in dark magic, but an unexpected bond forms between them.
One common trope is the redemption arc of Voldemort. In these fanfics, he goes from being the evil Dark Lord to a more caring figure. Another is Harry's struggle with his past abuse and how he slowly heals with Voldemort's new - found kindness.
One possible plotline could be Harry initially being very distrustful of Voldemort, but as time goes on, he starts to see a different side of him. Voldemort, on the other hand, might be trying to use Harry for his own purposes at first but then develops a real bond. Another could be that Voldemort has to face the wizarding world's reaction to his newfound role as Harry's protector, which could lead to conflict. And Harry could grow to become a powerful ally to Voldemort in a new way, changing the power dynamics in the wizarding world.
Often, Voldemort starts as this purely evil figure. But when he adopts Harry, he begins to show some unexpected softness. For example, he might start to protect Harry from other threats, which is very different from his usual self.
Another option is Wattpad. Although it has a wide range of content, including a lot of Harry Potter fanfiction. You can look for stories with the relevant character names. However, be aware that the quality can vary more on Wattpad compared to the other two platforms. But it's still worth exploring as you might come across some unique and interesting takes on the relationship between Harry, Lucius and Voldemort.
A possible plot could be that Voldemort adopts Harry after seeing a prophecy that Harry is the key to saving the wizarding world in a different way than just defeating him. So, Voldemort decides to raise Harry in a way that will make him a powerful ally. They go on adventures together, facing ancient magical threats that neither could face alone, and along the way, they form an unlikely bond.
You could start by looking on well - known fanfiction platforms like Archive of Our Own (AO3). It has a large collection of Harry Potter fanfiction and you can use the search function to look for stories related to Lockhart and Harry with the key word 'abuse' (but make sure to check the ratings and tags to ensure it's appropriate).
One great fanfiction in this genre is 'A New Beginning' where McGonagall steps in to rescue Harry from his abusive relatives. It beautifully shows how she nurtures him and helps him grow in confidence.
Another option is to join some Harry Potter fanfiction groups on Facebook. Members in these groups often exchange their favorite fanfictions. You can post a request asking for 'voldemort wants harry' fanfiction, and someone might be able to point you in the right direction.