If Percy was the son of Zeus and Hera in the fanfiction, his powers would be a blend of their divine attributes. He'd have the power of lightning, for sure. But also, he could possess the power to influence the fates of others to a certain extent, which is related to Hera's role in the pantheon. He might be able to communicate with birds, which is often associated with Zeus. And his strength would not just be physical but also mental, as Hera is known for her mental fortitude, allowing him to resist mind - control and illusions more effectively.
If Naruto was the son of Zeus and Hera in a fanfic, he would likely have some form of lightning - based powers from Zeus. Zeus is often associated with lightning, so Naruto might be able to summon powerful bolts of electricity or even use lightning to enhance his speed and strength. From Hera, he could gain powers related to protection and leadership. Hera is a goddess who looks after marriage and family, so Naruto might have an innate ability to protect his friends and comrades like they were his family, and also possess strong leadership skills to guide them.
There is definitely some out there. One aspect that might be interesting in these fanfictions is how Percy's powers could be different since his parentage is from Zeus and Hera. In many traditional stories, Percy is a son of Poseidon, but in these fanfictions, he could have lightning - based powers or other abilities related to Zeus and Hera's domains.
One common theme is the struggle for identity. Percy, who is usually associated with Poseidon, now has to come to terms with being the son of Zeus and Hera. Another theme could be power - how he manages and discovers his new powers.
One possible plot could be Percy discovering his new parentage of being the son of Zeus and Hera. He might struggle with the new identity as it goes against what he previously knew. For example, he could face challenges from the other demigods who are suspicious or jealous of his new status. He then has to prove himself worthy of this new heritage while also dealing with the complex politics among the gods.
He could have the power of lightning, like Zeus. Maybe he can control it better than other demigods. Also, he might have enhanced strength and speed, similar to Zeus's own capabilities.
Percy's powers would be more complex. He could have the ability to communicate with sea deities in a different way. Maybe he could use Hera's diplomatic skills to make deals with them or resolve disputes. His control over water could also be extended to other substances that have a connection to water, like steam or ice, in a more efficient way than before. And his powers of persuasion, which could be influenced by Hera, might be used to calm angry sea storms or make sea monsters cooperate with him, which is an interesting combination of his Poseidon - given powers and Hera - influenced skills.
I'm not sure about a specific 'Percy son of Zeus and Hera fanfic' that stands out above all others. However, you can try looking on fanfic platforms like Archive of Our Own. There, you can search for this specific type of fanfic and read the reviews to find a really good one. Usually, the ones with high ratings and a lot of bookmarks are worth checking out.
Power and responsibility are often themes. Percy being the son of two major gods has a great deal of power, and he has to learn how to use it responsibly. Also, acceptance is a theme. He has to gain the acceptance of the other gods and demigods who may be skeptical or even hostile towards him at first.
If Percy were the son of Poseidon and Hera, his powers would be quite unique. His water powers could be enhanced in a different way. Maybe instead of just controlling water, he could transform water into different substances related to Hera's domain, like turning water into a fertile soil - like substance for plants to grow. His leadership skills would be off the charts. He could use his Poseidon - given strength and Hera - influenced charisma to lead not just demigods, but also other mythical creatures. He might also have the power to protect a place or a group of people in a more profound way, like creating a shield made of both water and a golden energy that represents Hera's protection.
He would likely have the ability to control lightning, just as Zeus is associated with thunder and lightning. This could manifest as powerful lightning - based jutsu that are far more potent than any normal ninja technique. For example, he could create massive lightning storms to incapacitate his enemies.