Sadly, I don't have a particular fanfiction to recommend at the moment. However, when you search for these stories, look for ones with high ratings and a lot of reviews. Usually, these are the ones that have captured the attention of many readers. Also, pay attention to the writing style. If it flows well and the characters seem true to the original, it's probably a good read.
One possible fanfiction could be where Percy and Annabeth are banished due to some false accusations in the demigod community. Maybe they are wrongly blamed for a powerful magical artifact going missing, and as a result, they are forced to leave Camp Half - Blood and go on a journey to prove their innocence. They might face many challenges on their own, away from their friends and the protection of the camp.
Yes, there are quite a few. You can start by looking on fanfiction websites like Archive of Our Own. Some fanfictions might explore Percy as a god in unique ways within the context of his relationship with Annabeth, known as Percabeth. They often add new plot twists and character developments.
I'm not sure of specific titles, but a good fanfiction in this regard might be one where Gaea's love for Percy is a result of seeing a future where they could rule together. Percy, of course, has to decide if he wants to be part of such a future or fight against it.
One great 'Percy Jackson is a god' fanfiction is 'The Godly Percy' on FanFiction.net. It has an interesting plot where Percy discovers his new godly powers and how it changes his relationships with his friends. The author does a great job of portraying Percy's character development in this new role.
One popular Percy Jackson as a bodyguard fanfiction might be 'Percy, the Unlikely Bodyguard'. In this type of fanfic, Percy's demigod skills like his combat abilities and quick thinking make him an excellent bodyguard. Another could be 'Percy's Protective Duty' where he is tasked with guarding a character, perhaps a new demigod or a mortal who has gotten caught up in the world of gods. These fanfictions often explore Percy's character in new ways, showing his loyalty and determination outside of his usual adventures.
Sure. There's a fanfic where Percy reads a book that tells the story of a forgotten demigod. This fanfic is great because it weaves in new mythology while still staying true to the original Percy Jackson universe. It has Percy reflecting on how this forgotten demigod's story relates to his own journey.
You can start by looking on fanfiction.net. It has a large collection of 'Percy Jackson' fanfics, including many focused on Percabeth. Just search for 'Percy Jackson Percabeth' in the search bar and you'll get a bunch of results.
In the fanfiction world, 'Percy Jackson: A Swimmer's Destiny' is quite good. It starts with Percy being recognized for his extraordinary swimming talent in the mortal world. But as the story progresses, he realizes his swimming is linked to his demigod heritage. He has to compete in a series of swimming challenges that are not just about speed but also about using his demigod powers underwater. Another interesting one is 'Percy, the Olympic - level Swimmer'. Here, Percy aims to participate in the Olympics, but he has to deal with various mythological obstacles that try to stop him from achieving his dream, all while using his amazing swimming skills.
Another popular one is 'Percabeth in the Modern World'. It's a unique take as it places them in a contemporary setting, dealing with modern problems while still maintaining the essence of their demigod selves. It shows how their relationship might evolve in a different environment.
I really like 'Percabeth's Summer'. In this fanfic, it focuses on their relationship during a summer at Camp Half - Blood. It shows their sweet moments, like when they go on secret dates by the lake. The writing style is engaging and makes you feel like you're right there with them.