Interesting character development within the fanfic is key. Maybe Hayama Hayato starts to see things from Hikigaya Hachiman's perspective more, or vice versa. Their growth as characters, learning from each other, and how that affects their relationship with other characters in the fanfic world can make it a great read. Also, if the fanfic is set in a unique AU (Alternate Universe), like a fantasy or a historical setting, it can add a whole new layer of intrigue.
You can start by looking on fanfiction platforms like Archive of Our Own (AO3). There are often many works dedicated to different character pairings. Just use the search function and type in 'Hayama Hayato x Hikigaya Hachiman'. Another option could be FanFiction.net, although the content there may vary in quality. Some anime - related forums might also have threads where fans recommend good fanfics about these two characters.
It could be about Akito Hayama falling in love with someone from a different social class. Maybe he's from a wealthy family and she's an ordinary girl, and they have to overcome the barriers of class difference to be together.
Physical hurt is also a possibility. It could be related to him getting injured during a battle or an accident. And then the fanfiction might focus on his recovery process, how he copes with the pain, and the support he gets from his friends or allies. For example, if he's in a sports - themed story, an injury on the field and his journey back to fitness can be an interesting plot.
Akaba Hayato in fanfic is typically a character full of determination. He has a clear goal in mind and will do whatever it takes to achieve it. He can be quite charming as well, which makes him popular among other characters in the story. Moreover, he often has a mysterious side to him. This mystery adds to his allure and makes readers want to know more about him. He's also shown to be adaptable, being able to adjust to new and strange situations easily.
This book was called "I Am the Venerable Cowardly Dragon in Tokyo". The characters in the book included: The male protagonist was Ryoshimiya Arakawa, an old coward/absolutely not eccentric/a good young man with moral integrity/guess who I am. The female protagonist was Risa Kogari, a natural capitalist/a beautiful girl who would never meet again. The female protagonist was Masahiro Ryoshimiya. Are all the brothers in the world perverted/only clumsy care? The female protagonist was Masami Koizumi, really just a hot girl/a selfless love from childhood. The female protagonist was Natsuki, a clean freak/an occasional natural beauty without a mouth. This book can be read on Qidian Chinese website.
"I'm a Cowardly Dragon in Tokyo" by Tottori Crystal Pear. It's a light novel/original fantasy novel with funny, immoral, relaxed, and funny elements. It's finished and can be enjoyed without worry.
[User recommendation: In a world where strangeness is gradually recovering.]
Arakawa looked at the demon ghost in front of him and realized that there was only a 95% chance that he could kill it without being injured. He decided to give in and silently took out a talisman. A mushroom cloud rose…
Looking at the complete corpse of the demon ghost in front of him, Arakawa hesitated for a moment before deciding to give in. As a result, a mushroom cloud rose…
Before leaving the strange space, Arakawa turned around and looked behind him. He decided to give in and a mushroom cloud rose…
I hope you will like this book.
There could be a fanfiction where Hayama and Soma are forced to team up for a special project. Maybe it's to create a menu for a very important event. In this story, they have to overcome their differences and learn from one another. Soma might introduce Hayama to some new ingredients, while Hayama could teach Soma about the subtleties of certain flavors.
Some smaller, niche fanfiction communities dedicated to the same fandom might also have some great Hayama x Soma fanfictions. These can often be found through social media groups or forums related to the show or manga. Sometimes, these smaller communities have hidden gems that you won't find on the larger platforms.