In some fanfictions, Harry might use his knowledge of potions in a unique way to outwit Snape. For instance, he could cleverly modify a potion's ingredients during a class assignment in a way that Snape didn't expect, but which still produced the correct result. This shows his ability to think outside the box and use his skills against Snape's high expectations in the potions class.
Another theme is the exploration of their relationship in a non - antagonistic way. Some fanfictions might show them forming an unlikely alliance or friendship, delving into how they could get along despite their differences. This often involves a lot of character development and emotional exploration. For example, they might start to understand each other's motives and pasts better. In some cases, it could even lead to a romantic relationship, which is also a theme in some fanfictions. Here, the authors might explore how their personalities would interact on a more intimate level, like how their shared intelligence could play a role in their romantic connection.
In some fanfiction, Harry Potter might outsmart others by using his quick thinking and knowledge of magic. For example, he could use spells in unexpected ways to get out of tricky situations.
You can try Archive of Our Own (AO3). It has a vast collection of fanfictions, and you're likely to find many 'near x light' ones there. Just use the search function.
There's a fanfiction called 'Near's Perspective on Light'. This one gives a deep look into how Near views Light. It shows his thoughts and analysis of Light's actions in a way that makes you see their dynamic in a whole new light. It's full of psychological insights.
It might be a mystery story where the child solves the case before the adults. The child's unique perspective and innocent thinking help them see things the adults miss.
We should focus on positive and legal stories. There are many great tales about people using their wits in legal and ethical situations, like a man outsmarting a thief through clever use of technology, for example.
One creative way is by using his Patronus in a unique way. His Patronus could be made to deliver secret messages to the other students right under Umbridge's nose. Since she can't really stop a Patronus, Harry uses it as a communication tool to organize against her rules.
One key plot point could be Naruto discovering a conspiracy within Konoha. He then uses his wits to gather evidence without being detected. Another might be when he outmaneuvers the village elders in a political situation, perhaps by using the support of the younger generation.