Well, there are also those characters who might be a bit shocked or confused. Take Levi from Attack on Titan. He's a very serious and no - nonsense type of character. If he were to read some of the fanfic about him that deviated too much from his own self - perception, like being made into a comical or overly emotional character in the fanfic, he might be taken aback at first. But then he might also realize it's just a different interpretation and not take it too seriously.
Well, it depends on the nature of the fanfiction. Some anime characters might be amused if the fanfiction is light - hearted and full of comical situations. For example, if it's a fanfic about a cooking competition among the characters from a shonen anime, they might react with good - natured laughter and competitiveness. They could also be confused if the fanfiction takes their story in a very strange or unexpected direction, like suddenly making a character from a historical anime end up in a space adventure.
The characters would have a range of reactions. Barry (Flash) would probably be very protective. He's a hero who helps people, and Kara is his friend. He'd likely offer his speed and any resources he has to keep her safe. Kara's friends on Supergirl's side, like Alex, would be shocked at first but then become very supportive. They might start planning how to protect Kara and the baby from all the threats they face in their world.
The other characters' reactions could be quite diverse. Flash's friends might be supportive at first, thinking it's just a new hobby of his. But as his pretense continues, they might start to get annoyed. The bullies in Flash's clique could see it as a weakness and start to pick on him. Meanwhile, the people who are actually Spider - Man fans might be outraged that Flash is faking it just for attention. They could confront him and expose his falsehood, leading to a big drama in the story.
Kakashi would be very observant. He would look for how the fanfiction writers understand the world of Naruto, the values and the moral lessons. He might even use some of the creative ideas from the fanfiction in his own teachings if he thought they were valuable and in line with the spirit of the original story.
There could be characters who are outraged. If the fanfiction distorts their personality or makes them do things completely against their nature, they may be very angry. For example, a noble character made to act like a coward in the fanfiction would likely not take it well.
They might be confused at first. RWBY has its own unique lore and concepts that are different from many anime. So anime characters may need time to understand things like Grimm and Huntsmen. For example, if Goku from Dragon Ball was watching, he'd probably be like 'What are these strange monsters?'.
They could be surprised. The fanfiction might show them in scenarios they never imagined, like a shy character being in a very bold and adventurous situation.
At first, Flash might be a bit confused. His world is so different from the world of Glee. But as he listens more, he'd start to appreciate the artistry. The emotions expressed through the music would touch him. He might even start to see parallels between the unity and teamwork in the Glee club and the teamwork he has with his own allies in fighting crime. He could then become a big supporter of the Glee club, using his powers to spread the word about their amazing music.