Perhaps an ancient and malevolent sorcerer who has been awakened from a long slumber. The sorcerer wants to use Percy's powers for his own dark purposes. He sets traps and sends magical creatures to stop Percy as he tries to figure out what the sorcerer is up to and how to defeat him. The sorcerer would be a very tricky antagonist as he can use all kinds of magic that Percy has never faced before.
A rogue demigod could be the main antagonist. This demigod has turned to the dark side, maybe because of jealousy or a thirst for power. He knows Percy's strengths and weaknesses well and uses that knowledge to try and take Percy down. He might form an alliance with some of the more dangerous monsters in the Percy Jackson universe and plot to rule over the demigods with Percy out of the way.
It might be a new, self - made god. This being has risen from the ashes of human greed and ambition. He sees Percy, the immortal warrior, as a threat to his plans of world domination. He uses his own brand of dark magic and his army of mind - controlled minions to try and defeat Percy. He also tries to turn the other gods against Percy by spreading lies and false prophecies about him.
A powerful Titan who was once a timeless warrior but was banished to the depths of Tartarus could be a great antagonist. He has spent centuries plotting his revenge and now wants to use Percy to break free and destroy the Olympians once and for all.
Well, it could be about Percy going on a solo quest to find a powerful and lost artifact. Maybe he has to face some new and dangerous monsters all by himself, like a horde of fire - breathing dragons that guard the artifact in a hidden lair.
A powerful demigod who has been corrupted by the idea of primordial power could be the main antagonist. They might believe that by allying with a primordial or obtaining their power, they can become greater than the gods. This demigod would then oppose Percy, who stands for the protection of the current order.
An ancient and forgotten god who has been awakened. This god could be angry at the modern demigods for ignoring the old ways and decides to send assassins after Percy as a warning to the rest. They might want to bring back the old order where gods were feared and worshiped more and see Percy as a symbol of the new, more independent demigods.
Perhaps an ancient and dark deity who has been awakened due to some event related to Percy's exile. This deity wants to bring chaos to the world of gods and demigods, and Percy, even in exile, is the only one who can stop it. The deity would use all kinds of dark magic and minions to oppose Percy and his friends.
A new and powerful Titan could be the main antagonist. This Titan could be jealous of Percy's immortality and see it as something that should belong to Titans instead. He could gather a new army of monsters and try to overthrow the Olympian gods once again, with Percy being the biggest obstacle in his way.
A powerful nature - hating Titan who wants to plunge the world into eternal winter could be a great antagonist. He would be directly opposed to Demeter's power over the seasons and crops.
It could be a powerful demigod who was once rejected by the Camp Half - Blood. This demigod, filled with resentment, forms a mafia - like group to seek revenge on those who he believes wronged him. He uses his powers, which could be something like controlling shadows, to create an air of mystery and fear around his mafia operations.
The main antagonist could be a primordial being that has been awakened. It sees the phoenix as a threat to its existence because the phoenix represents rebirth and renewal, which goes against the primordial being's nature of chaos and destruction. So, it tries to destroy the phoenix and Percy has to protect it, along with his friends, using all their skills and the unique powers they possess.