No. I've not come across many, if any, 'ami sex stories' in mainstream literature. Most literature focuses on a wide range of themes like love, friendship, adventure, etc., and sexual stories are not as common in a very specific form like this.
An 'ami sex story' could be a very unique or niche - type of story. If 'ami' is a name, perhaps it's a personal account or fictional narrative about someone named Ami and their sexual experiences. However, it could also be a misnomer or something that has been misinterpreted. In general, we need more information to really understand what it is about.
Lund fiction could potentially be a specific type of literature that has certain characteristics unique to Lund. It could involve themes related to the culture, history, or people of Lund. For example, it might include stories about the university in Lund and the experiences of students and professors there. Maybe it also incorporates the local architecture and landscapes into its fictional settings. There could be a community of writers in Lund who contribute to this body of 'Lund fiction'.
If Gay Lund is a regular person in a community, his stories might include how he overcame discrimination, if he faced any. He could have stories about his friendships, his relationships, and how he contributed to making the local gay community a better place. For example, he might have organized events to raise awareness about gay rights or to provide support to other gay individuals in the area.
In Ice Hunting, Mei was a waitress in a small village and Huang Zongwei's second partner. She was originally a waitress in a restaurant. Later, she met Huang Zongwei by chance and then embarked on the road of crime with Huang Zongwei. May had always had the illusion of true love for Huang Zongwei, but in fact, Huang Zongwei was just using her. May was eventually shot dead in the play. Her death was sad, but it was also her own choice. Huang Zongwei was eventually caught and sentenced to death, becoming the shadow of May's life.
Ami could potentially be someone with a special ability or connection to Naruto. Maybe she has some knowledge that is important to the village or to Naruto personally. That's why Naruto is so determined to save her from the fire ball. It's also possible that she is related to one of Naruto's friends or mentors, and that's what draws Naruto to her rescue.