One common plotline could be Hermione forming a closer friendship with Fleur. Since she hates Ron, she might turn to Fleur for support and they could end up having adventures together, perhaps in the wizarding world outside of Hogwarts.
Another plotline might involve Hermione exploring her own independence. With her dislike for Ron, she could focus more on her studies and magical research, with Fleur being a mentor or a partner in some of these pursuits. Maybe they work on some new spells or study ancient magic together.
Fanfiction.net could also be a place to search. However, the tagging system there might not be as detailed as AO3. You may need to dig a bit deeper by using the search function and looking through different categories related to Harry Potter fanfiction.
Well, a frequent theme is the exploration of how their friendship breaks down. It could start with a single event that causes Ron to turn against Hermione. Also, there might be themes related to unrequited love from other characters. For instance, if another character has feelings for Hermione and Ron's hatred is somehow related to that. And sometimes, the theme of betrayal might be there. Maybe Hermione does something that Ron perceives as a huge betrayal, and that's the start of his hatred in the fanfiction.
In some fanfictions, Ron might be under the influence of a spell or some dark magic that changes his behavior. If he starts acting in a way that is harmful or annoying to Hermione, like constantly arguing with her or trying to undermine her work, she could end up hating him. Also, if there's a competition in the fanfic, say for a powerful magical item or a high - ranking position in the wizarding world, and Ron tries to cheat Hermione out of it, that would likely make her hate him.
Sometimes, they get injured accidentally, like in a potions accident gone wrong in the Hogwarts dungeons. This then leads to a series of events where they learn more about each other's vulnerabilities and strengths. It can also bring out the protective sides of their friends, like Harry trying everything he can to make sure they are okay.
Another aspect could be Ron's jealousy issues. In the original story, Ron sometimes gets jealous of Hermione's friendship with Harry or her academic achievements. In fanfiction, this jealousy could be exaggerated to a point where Hermione can't tolerate it anymore and thus is written as hating him. For example, if Ron constantly tries to undermine her success out of jealousy, it would be a valid reason for her to develop strong negative feelings towards him.
One reason could be a divergence from the original character traits. In the original story, Hermione and Ron have a complex relationship with love and friendship. Fanfiction that misrepresents Hermione's feelings towards Ron might go against the essence of her character. Maybe the fanfiction portrays her as hating Ron in a way that doesn't fit with her growth and development in the official series.
Some people might create 'Ron hates Hermione' fanfiction because they like to explore alternative storylines. Maybe they want to see how the story would develop if there were more conflict between the two characters. It could also be a way to show different interpretations of their relationship.
Some writers might create such fanfiction for the shock value. They want to break the established strong friendship in the original series to get readers' attention.
There's often the sacrifice plotline. They might sacrifice their relationship with Hermione to save a large number of people. For instance, they learn that a dark wizard will spare many lives if they abandon Hermione. Also, the jealousy plotline can exist. If a new character becomes closer to Hermione and they feel left out, they might leave out of jealousy and a sense of not belonging in Hermione's new social circle.
A plotline where they form a secret club at Hogwarts. They have to keep it a secret from the teachers and other students while they work on a special project. It could be something like creating a new spell or trying to communicate with a magical creature that has never been done before. Their different personalities would lead to both funny and tense situations within the club.