They'd probably be very entertained. Thor is a larger - than - life character, and fanfiction often takes things to the extreme, which would be a source of amusement for the Avengers.
The Avengers' reactions would be diverse. Tony might be dismissive at first, thinking it's just some kids' stuff. But then he'd get curious and start asking Thor more about the magic and powers in the Percy Jackson universe. Steve would probably listen attentively, seeing it as a new form of hero story. Thor himself would be enthusiastic, trying to get everyone as excited as he is about it.
He might have been a bit confused at first. After all, glasses are not something he's used to seeing in Asgard. But then he could have quickly reacted with his natural heroism and tried to help her find them.
One great Thor and Avengers fanfiction is 'The Reunion'. It focuses on Thor's return to the Avengers after being away for a while. The story does a great job of showing his relationships with the other members, especially how he reconnects with Tony Stark after some previous tensions. It has some exciting battle scenes as well.
There's a fanfic called 'Loki's Redemption in Thor's World'. This one focuses on Loki trying to find his place in Thor's world after all the chaos he has caused. It shows his struggle to be accepted and how Thor is gradually coming to terms with having Loki back in his life. The writing style is engaging and really makes you feel for both characters.
A popular one is 'Thor and Loki: Brothers United in Battle'. This fanfic focuses on the bond between Thor and Loki. It shows how they work together to face a new threat that is even greater than the ones they've faced before. The story has a lot of character development for both of them. Loki uses his cunning to outwit the enemy, while Thor uses his strength. It's a great read for those who love to see the dynamic between these two brothers within the Avengers universe.
Steve Rogers, on the other hand, would be a bit more diplomatic. He might not fully understand the concept of fanfiction at first, but he'd respect the creativity of the fans. He could say that while it's not the 'official' story, it shows how much people love Thor and the Avengers. He might even find some of the stories that highlight Thor's heroic side inspiring for his own leadership.
It can also be frustrating at times. Some fanfictions lack the proper understanding of the movie's lore. They might introduce concepts that don't fit well with the established Marvel Cinematic Universe. But on the positive side, many fanfictions are a labor of love. Authors pour their passion for the movie into their writing, and that can really shine through, especially when they capture the essence of the characters as we know them from the movie.