One interesting aspect could be the new characters it might introduce. Fanfics often create unique individuals to add to the existing Hunger Games universe.
There could be an older tribute from District 9. He has seen many harvests and is very wise. He might use his knowledge of grains and farming to his advantage in the arena, like knowing which plants are edible. And don't forget about the tribute from District 2 who is a trained fighter. He's very strong and confident, but also has a soft side that he tries to hide during the games.
A boy from District 9 who is a genius at strategizing. He might have studied the previous Hunger Games extensively and uses this knowledge to form alliances and plan his every move. He could be a complex character, torn between his own survival and his moral compass.
It could be about a new tribute who has a unique skill like being able to communicate with animals. They use this skill to survive in the arena, forging alliances with other tributes who are also outsiders in their own districts.
Well, you could explore a scenario where the Capitol's technology fails during the 73rd Hunger Games. This would lead to chaos in the arena as the tributes have to deal with unexpected situations. Maybe the force field that keeps them in malfunctions, and they have to decide whether to try to escape or continue the game. It could also be interesting to have a tribute who is a master of disguise, constantly tricking the others.
Another plot could be that a tribute discovers a hidden passage in the arena. This discovery could lead to a series of events that change the whole dynamic of the games. They might have to decide whether to share this information with other tributes or keep it to themselves for their own advantage.
There could be a disabled tribute from an unknown district. Despite his physical limitations, he has a brilliant mind and uses his strategic skills to form alliances and stay alive in the 73rd Hunger Games.
I'm not sure specifically as I haven't read it. But generally, a Hunger Games fanfic might be about new characters in the Hunger Games universe, different scenarios in the arena, or relationships between the characters in a way that the original story didn't fully explore. As for the 'lemon games' part, it could be some sort of unique or made - up concept within this fan - created story.
It's not appropriate at all. 'The Hunger Games' has a complex and meaningful story line that is about more important things than sex. Adding sexual elements in fanfic is disrespectful to the original work and its intended audience. It also violates the family - friendly nature of the original franchise.