One idea could be that Draco and Hermione discover they are demigods during a dangerous adventure at Hogwarts. Maybe they have to team up to face a powerful monster that is threatening the school. Another plot could involve them going on a quest to find a lost magical artifact that only demigods can retrieve. It could also be interesting if they have to deal with the differences between their demigod heritages, like Draco being from a more 'dark' lineage and Hermione from a more 'light' one.
One possibility in this fanfiction could be that Hermione is a demigod of Athena, given her intelligence and wisdom. She could use her godly gifts to solve complex magical problems. Luna, perhaps, could be a demigod related to a more ethereal deity, like Artemis. Her connection to the moon and her dreamy nature might be enhanced by such a heritage. They could go on adventures together, using their combined powers to face magical threats that normal wizards couldn't handle.
Yes, there are some interesting ones. You can start by looking on popular fanfiction websites like FanFiction.net or Archive of Our Own. Just search for 'Harry and Hermione are demigods' and you'll find a variety of stories with different takes on the concept. Some might explore their new powers as demigods, while others could focus on how their relationships change within the wizarding world and the demigod realm.
In the original series, their relationship was mainly defined by the house divide and their different loyalties. However, as demigods, a whole new dimension is added. They would have to put aside their old grudges because they are now part of a different world with different rules. Their relationship could become a friendship built on mutual survival and the understanding of their demigod natures. They may even find that their differences as a Slytherin and a Gryffindor are assets when dealing with the various tasks and threats that come with being demigods. Their bond could grow as they explore their new powers and face challenges that only they, as demigods, can understand.
One popular theme could be the idea of redemption for Draco. In many fanfictions, he is shown to overcome his family's dark past and prejudice. Another theme might be the power of friendship or love that develops between Hermione and Draco, despite their initial differences. It could also explore how they navigate the complex wizarding world together, facing challenges from their respective houses and the general wizarding society.
In a fanfiction with this theme, it could be set post - war. Draco and Hermione find themselves in a situation where they are on the run from some dark wizards who are after them for different reasons. During their escape, Hermione gets wet and cold. Draco, having a change of heart after the war, gives her his warm cloak. This act of kindness begins to break down the barriers between them, and they start to have deeper conversations, realizing they have more in common than they thought.
Perhaps there's a fanfiction where a powerful and dark wizard from outside the school is targeting Muggle - borns. Hermione, being a Muggle - born, is understandably afraid. Draco, who has always had a complex relationship with Hermione, is conflicted. He doesn't want to see her hurt because, deep down, he has feelings for her. He ends up using his Slytherin cunning to outwit the dark wizard and keep Hermione safe.
One reason could be the traditional rivalry from the original series. In the books, they are from different houses, Slytherin and Gryffindor, which have a long - standing feud. Fanfiction writers might play on this by having Draco be mean as a continuation of that in - built tension. Another aspect could be his family upbringing. The Malfoy family has certain pure - blood supremacist views, and Hermione being a Muggle - born might be a target for Draco's meanness in fanfictions.
In these fanfictions, a prevalent theme is the exploration of their heritage. They have to figure out who their demigod parents are and what that means for them. Another theme is the change in their relationships. For example, how they interact with other characters in the wizarding world and how the demigod community views them. Additionally, the theme of self - discovery is quite common. As demigods, they learn more about themselves and their capabilities, which is different from their self - understanding as wizards.
One possible unique plot could be that Draco and Luna discover they are demigods during a school event at Hogwarts. They are then tasked with protecting a magical artifact that is being hunted by dark forces. Along the way, they learn about their divine parents and the powers they inherit, and have to combine their Slytherin and Ravenclaw traits to outwit their enemies.