One fanfiction might depict Harry getting the rune tattoos as a symbol of his newfound power and connection to an ancient magic. The runes could be tied to his destiny, perhaps revealing secrets about his parents or his role in the wizarding world.
In some fanfictions, the rune tattoos on Harry could be a result of a magical encounter in a hidden part of the Forbidden Forest. They might glow in the presence of dark magic, acting as a sort of warning system for him. For example, when Voldemort or his Death Eaters are near, the tattoos start to emit a soft light, giving Harry an edge in battles.
You can start by looking on popular fanfiction websites like Archive of Our Own (AO3). It has a vast collection of Harry Potter fanfictions, and you can use the search function to specifically look for stories that mention 'Harry Potter' and 'rune tattoos'.
Another idea for a fanfiction is that the lyrium tattoos are part of a prophecy. Naruto, being the main character, is the chosen one to bear these tattoos. His friends might be initially skeptical or worried about the strange markings. But as the story progresses, they realize the tattoos are the key to saving the ninja world from a new, powerful threat.
One popular fanfiction might be where Harry has an older sister who was hidden away to protect her from Voldemort. In this story, she could have been trained in magic secretly and then return to Hogwarts to help Harry in his fight against the Dark Lord.
There could be a fanfiction where the ring is a key to a hidden wizarding library. Harry discovers the ring and has to go on a quest to figure out its purpose and how to use it to access the library full of ancient spells and knowledge.
Tattoos on Harry in fanfiction could also be related to a new identity he creates for himself. Maybe he gets tattoos to mark his journey as a unique wizard. It might be a way for the author to show his growth and change. For instance, a tattoo of a spell or a magical symbol that he has discovered on his own adventures.
There might be a fanfiction where the metal wand is a family heirloom passed down in a hidden line of the Potter family. The wand's metal is engraved with ancient runes that only Harry can decipher as he grows in his magical abilities. This could lead to a whole new set of adventures as he uncovers the secrets of his family's past and the true power of the metal wand.
One possible fanfiction could be about Harry Potter using his bat wings to secretly explore the Forbidden Forest at night. He might discover new magical creatures that are only active during the dark hours.
In a fanfiction, the Elder Wand in Harry's hands might attract the attention of other powerful wizards from around the world. They come to Hogwarts to challenge Harry for the wand, believing that whoever holds it should be the most powerful wizard alive. Harry then has to defend himself and the wand, not just physically but also by proving that he is worthy of it in a more moral and ethical sense. He might have to engage in magical duels as well as debates about the true purpose of such a powerful object.
One possible fanfiction could be where Harry discovers he has dragon claws during a dangerous encounter in the Forbidden Forest. Maybe he uses them to fight off a dark creature that normal magic couldn't defeat.
One interesting fanfiction could be where Harry discovers a sphinx cub in the Forbidden Forest. The cub bonds with him and becomes his familiar. It helps him solve mysteries around Hogwarts by using its riddle - asking nature.