One common theme is loyalty. Grayfia is often portrayed as being extremely loyal in these fanfictions, whether it's to her superiors or to her new friends in the high school setting. Another theme is mystery, as her character often has secrets that are slowly uncovered throughout the story.
One common theme is her loyalty. Grayfia is known for her loyalty in the series, and fanfictions often explore this aspect further, like how she balances her loyalty to different characters or factions. Another theme is her power. Writers like to show her using her magic and skills in different situations.
In a Naruto and High School DxD fanfiction, there could be a scenario where the protagonists of both stories meet in a neutral dimension. Issei from High School DxD might be intrigued by Naruto's ninja skills and determination. Naruto, in turn, could be curious about Issei's Sacred Gear. They could start training together, sharing their knowledge and skills, and ultimately have to face a common enemy that threatens both their worlds.
I'm not sure if there is specific fanfiction directly involving both Naruto and Grayfia from Highschool DxD. Fanfiction can cover a vast range of combinations and crossovers, but this particular one might be quite rare. You could try searching on specialized fanfiction websites to see if any exist.
Asta could be brought into the High School DxD fanfic as a result of a multiverse - related event. In this case, different universes are colliding or being connected in some way. His presence would disrupt the power balance as his anti - magic is something that no one in the High School DxD world has really encountered before. He could end up training with the devils to learn more about their magic while also teaching them about the concept of anti - magic.
One way could be through the power system. The EMS (Eternal Mangekyou Sharingan) from Naruto could be a unique power that a character in the High School DxD world acquires. Maybe a transfer student from a hidden ninja village arrives at the high school and has to keep their EMS a secret while dealing with the devils and angels in the school. This could lead to some interesting battles and interactions as the powers of the EMS, like the ability to use powerful jutsus, contrast with the magic and abilities of the High School DxD characters.