I don't know if anyone has seen it, but there's a story on fanfiction.net that has a lot of OOC and Mary Sue-ish characters.
It's about the Akatsuki, from Naruto, turning into cats and coming to our world. It's called "Consider Yourselves Kitties" by DaniZaraki if anyone cares. There are two sequels: "Man, I Miss the Kitties," and "Screw the Kitties."
The main characters, Alice and Kathryn end up being loved by the Akatsuki within hours of meeting them, which seems pretty weird in a not-gonna-happen-for-the-life-of-me kind of way. Alice can even threaten them with no repercussions, which makes absolutely no sense, considering the Akatsuki consists of cold-blooded murderers.
And on top of all that, Alice has perfect photographic memory to the point that she changes the storyline of Naruto so the Akatsuki can survive and she can have a happily-ever-after ending.
Also, apparently iPods and cellphones work and have reception and internet access across world/dimensional barriers.
The list goes on and on.
Here's a link if anyone cares: https://www.fanfiction.net/s/6603075/1/Consider-Yourselves-Kitties