Perhaps Percy could have a dream during Greek class about an upcoming prophecy related to the class. In the dream, he sees that a certain ancient Greek artifact hidden in the school is going to be discovered, and it will either bring great danger or great power. So, he spends the rest of the class trying to figure out how to stop or find it first. Also, he could get into an argument with a teacher who doesn't believe in the real existence of the Greek gods, but Percy has to prove it without revealing his true identity as a demigod.
In the fanfiction, Percy could be given a special assignment in Greek class to write about his own experiences as if he were a character in an ancient Greek myth. He struggles with how much to reveal, and as he writes, the words on the paper start to come to life. His classmates start to notice strange things happening around him as he delves deeper into his story, like the classroom walls taking on the appearance of an ancient Greek temple.
One idea could be a story where Percy has to team up with a minor Greek god, like Hypnos, to defeat a new threat that's causing nightmares across the demigod world. Another could be a fanfic exploring what would happen if Percy was sent back in time to the age of the original Greek heroes and had to prove himself among them.
In a Percy Jackson gym class fanfiction, the plot could revolve around a special competition in gym class. Percy is paired with some of his least favorite classmates. At first, they don't get along, but as the competition progresses, they start to see Percy's value. Meanwhile, Percy discovers that there's a magical object hidden somewhere in the gym that a rogue demigod is after. He has to balance his team responsibilities in the competition and protecting the object, all while trying not to get in trouble with the gym teacher.
One idea could be to write a fanfiction where Percy visits an ancient Greek city that has been forgotten by the modern world. He discovers a hidden power there that could change the fate of the demigods.
One idea could be that Percy and the Class of the Titans have to team up to fight a new, powerful enemy that is a threat to both the Greek world and the Titans' realm. Maybe a primordial being that has been awakened and is causing chaos everywhere.
One plot idea could be Percy having to team up with Hera to rescue a group of demigods who have been captured by an ancient monster. Hera, despite her usual aloofness, realizes she needs Percy's unique skills.
Well, a cool plot might be that there's a merman who has a special power to control water currents, and Percy needs his help to find a lost magical artifact deep in the ocean. In return, Percy has to help the merman get accepted by the surface - dwelling gods. Or perhaps a merman is wrongly accused of stealing Poseidon's trident and Percy has to prove his innocence.
One idea could be Percy having to face a new threat underwater that only Poseidon can help him understand. Maybe a lost civilization that Poseidon once had a connection with is now causing trouble. Another could be Percy going on a quest to find a powerful artifact that was once Poseidon's but has been stolen, and Poseidon gives him special powers or guidance along the way.
One idea could be that Percy and Hermione meet during a magical event that crosses over the Greek mythology world and the wizarding world of Harry Potter. They team up to solve a mystery that involves both magic and ancient Greek curses.
One idea could be Percy having to team up with an Amazonian princess to rescue a group of half - bloods kidnapped by a new monster. They could face challenges like navigating through the Amazon jungle filled with magical traps.
One idea could be a story where Percy has to team up with a monster that has been wrongly accused. Maybe a centaur is framed for stealing a powerful artifact from Camp Half - Blood. Percy, being the hero he is, decides to help the centaur clear its name and in the process discovers a new threat to the demigod world that involves an ancient monster alliance.