Perhaps Percy is held captive by a primordial force that has been awakened from a long slumber. This force is angry at the gods and sees Percy as a pawn. The place where he's held captive is a dimension that's constantly shifting and changing, making it hard for him to find a way out. He has to communicate with the spirits of the place to learn how to control the shifting and find the weak spot in the prison. Meanwhile, his friends back at Camp Half - Blood are trying to figure out how to reach him and are facing their own challenges from the gods who are reluctant to get involved.
Well, a cool plot could be that Percy is held captive in a magical prison created by a powerful sorcerer who has a vendetta against the gods. The prison suppresses Percy's powers, and he has to rely on his friends from outside to send him clues on how to break free. His friends, like Annabeth, might be on a quest to find the key to the prison which is hidden in a dangerous, enchanted forest filled with mythical creatures. As Percy waits, he discovers secrets about the sorcerer's past that could be his ticket out.
One plot idea could be that Percy is held captive by an ancient, forgotten sea deity who wants to use Percy's powers for its own dark purposes. Maybe this deity has the ability to manipulate water in ways that even Percy hasn't seen, and he has to find a way to outwit it using his wits and the limited power he can access while captive. Another idea is that he's held captive by a group of rogue demigods who believe Percy is a threat to their new world order. They try to brainwash him into joining their side.
There's a possibility that a new, unknown and powerful monster could be the captor. This monster could be a hybrid of different mythological creatures, created by some dark magic. It has heard of Percy's fame and power and wants to keep him captive either to study him, or to use his power to become even more powerful itself. It could have a lair in a hidden and dangerous place, like an underground cavern filled with deadly traps.
Well, it depends on the specific fanfiction. Sometimes, Percy might get help from an unexpected source. He could befriend a magical creature that is also held captive by Luke and together they come up with an escape plan. He might also discover a hidden passage or weakness in Luke's lair that he can use to his advantage. Another possibility is that his friends from Camp Half - Blood somehow find out where he is and stage a rescue mission.
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.
One idea could be a crossover where Harry and Percy meet during a magical event that blurs the boundaries between their worlds. Maybe a powerful dark force is causing chaos in both the wizarding world and the demigod world, and they have to team up to stop it. They could share their unique magical abilities and learn from each other's fighting styles.
A great plot could involve Percy being sent on a quest by a primordial. Since primordials are so powerful and ancient, the quest would likely be extremely dangerous and full of unknown challenges. For example, he might have to retrieve an ancient artifact that was lost in the time before the gods. This could lead to Percy facing not only physical challenges but also moral dilemmas as he deals with the primordial's motives.
A plot could involve Hera taking Percy on a journey through the past to show him the origins of the gods' power and how it relates to the current problems in the demigod world. This would give Percy a new perspective and knowledge that he can use to save the day. Or perhaps Percy accidentally stumbles upon a secret of Hera's that she's been hiding for centuries, and she has to enlist his help to keep it safe, all while other gods are trying to uncover it too.
One idea could be Percy gets cursed by Circe to forget his friends and mission, and he has to struggle to regain his memories while under Circe's influence. Another could be Circe teams up with Percy to fight a common enemy that threatens both the mortal and magical worlds. Or perhaps Percy has to rescue his friends from Circe's island after they are turned into animals, but he discovers that Circe has a more complex backstory and motives than he thought.
A great plot could involve Percy going on a quest not for the typical reasons like saving the world or a camp, but to find a way to restore the memories of a friend who has lost them due to a powerful spell. Along the way, he discovers secrets about his own past that were hidden from him. He might also encounter new demigods with unique powers who either help or hinder his journey.
One idea could be that Padme somehow gets transported to the Percy Jackson universe. She could use her diplomatic skills to help resolve a conflict between the demigods and a new, powerful enemy. Maybe she teams up with Percy and they combine their unique abilities to defeat the foe.
One idea could be Percy getting a magical haircut that gives him new powers. Maybe the hair is cut by a special sword and as each strand is cut, a new ability like controlling water in a more unique way or being able to communicate with sea creatures better is bestowed upon him.