Well, 'OP' in the context of this 'Fury Tries to Kidnap OP Harry Potter Fanfiction' could be the main character that Fury is targeting because of their special powers. Maybe it's a new character created by the author with unique magical abilities that Fury, for some reason, wants to get his hands on. It could be someone with a combination of different magical skills from the original Harry Potter universe, like being able to perform extremely powerful spells without a wand or having the ability to control all types of magical creatures.
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In a great number of fanfictions, Harry is indeed made into an OP magus. This is because it allows for more creative freedom. The author can have Harry perform amazing feats of magic, like creating new spells or having an unrivaled control over magic. It also makes for interesting interactions with other characters, as his OP status can either inspire admiration, envy, or fear among them.
Yes, in many fanfictions, Harry can be depicted as an OP (overpowered) assassin. Writers often like to take established characters like Harry and give them new, extreme abilities, and the role of an assassin allows for a lot of creative freedom in terms of combat skills, stealth, and a mysterious backstory.
In fanfiction, Naruto is often seen as OP (overpowered) because in the original series he already has a lot of powerful abilities like the Nine - Tails chakra, Shadow Clone Jutsu, and Rasengan. Fanfic writers might exaggerate these powers even more. For example, they could make his Nine - Tails chakra completely uncontrollable by his enemies, or give him new and insane versions of the Rasengan. Also, his growth potential in the original story is huge, and in fanfiction, this growth can be accelerated to make him extremely powerful very quickly.
Another common main character type is the damsel in distress. Like Guinevere. She was King Arthur's queen. Her character often added a romantic and sometimes conflict - inducing element to the story as she was the object of many knights' affections.
One of the most OP characters is Superman from DC Comics. He has super strength, can fly, has heat vision, and is nearly invulnerable. His powers make him extremely difficult to defeat in most situations.
I would also consider 'Neon Genesis Evangelion: The Shinji Ikari Raising Project' by Osamu Takahashi. It's based on the iconic 'Neon Genesis Evangelion' franchise. It offers a different take on the story and characters, delving deeper into their relationships and the psychological aspects. It has a unique blend of mecha action and deep character study.