It's possible he gains enhanced physical abilities like super strength or speed. Since his heritage is often tied to some special genetic traits, these could be unlocked upon the revelation. For example, if his heritage is linked to a powerful clan, he could inherit their natural combat prowess. He could also find out about special chakra control abilities that are exclusive to his bloodline, which would give him an edge in battles.
I'd recommend 'The Wheel of Time' series by Robert Jordan. The main character, Rand al'Thor, starts to uncover and master his immense powers throughout the series. It's a rich and detailed world with lots of power discovery and growth.
If Peter Parker is in a situation where he has to deal with ghosts in this fanfiction, his spider - sense might be really useful. It could detect the presence of ghosts even if they are not visible to the normal eye. His super strength and agility could also come in handy when trying to escape from any dangerous ghostly attacks or when chasing after a ghost that is causing trouble.
One way could be through a magical encounter. Maybe he stumbles upon an ancient artifact that has the power to restore his abilities. It could be a relic from his home planet that he discovers by chance.
His relationship with Mary Jane could change. Without his powers, he might be more vulnerable, and Mary Jane could become more protective. Instead of being the damsel in distress, she could be the one looking out for Peter. Their relationship could become more of an equal partnership in terms of protecting each other.
His spider - sense might be enhanced. Since Athena is known for her wisdom and foresight, his ability to sense danger could be more refined, allowing him to predict attacks from enemies even more accurately.
Well, his strength could increase even more. Vampires are often depicted as having superhuman strength, and combined with Peter's existing spider - strength, he could become incredibly powerful. His speed might also be enhanced, allowing him to move faster than ever. And his ability to climb walls could potentially be altered. Maybe instead of using his spider - like grip, he could now scale walls more like a vampire, using his newfound agility and grace.
Well, in some fanfictions, Peter Parker's spider - based powers could potentially give him an enhanced thermoregulation ability. His metabolism might be faster due to his powers, which could help him generate or dissipate heat more efficiently. For example, if he's in a cold environment, his body could quickly produce more heat to keep him warm, much like how a real spider can adjust its body temperature to some extent.
Rocket could be another helper. With his technical expertise, he could build a device or figure out a scientific solution to bring back Peter's powers. He's always been good at tinkering with things.