Well, in a 'Harry Potter meets Hunger Games' fanfiction, a cool plot could be that the Ministry of Magic decides to hold a tournament inspired by the Hunger Games to choose the most powerful wizard among the young generation. The champions from different wizarding schools are magically transported to a large, enchanted forest where they have to face both magical creatures and traps while also competing against each other using spells and potions. Harry Potter and his friends could be among the champions, and they would have to use their wits and friendship to outsmart the others.
A plot could involve a portal opening between the wizarding world and the Hunger Games world. Some of the most notorious Death Eaters end up in the Hunger Games arena. They see it as a chance to gain power and control. However, they are met with resistance from the regular tributes who are used to the brutality of the games. Meanwhile, Harry Potter and his friends find out about this and try to figure out a way to close the portal and stop the chaos. Hermione might use her extensive knowledge of magic to try to understand the portal, while Ron provides support and comic relief in the tense situation.
One interesting plot point is the combination of magic and survival skills. For example, in some fanfics, wizards have to use spells to hunt or defend themselves in the Hunger Games - like setting. Another is the clash of cultures from the two worlds. Hogwarts students with their magical upbringing facing the brutal and more practical world of the Hunger Games.
One possible plot could be that Harry Potter, during one of his adventures in the Forbidden Forest, stumbles upon a magical portal that transports him to the world where Byakko exists. Byakko, being a powerful and mysterious creature, initially sees Harry as a threat. But as Harry shows his kind heart and magical abilities, they form an unlikely alliance. They could team up to fight a common enemy, perhaps a dark wizard who has also found his way into Byakko's world and is causing chaos there.
Maybe Voldemort has some sort of connection to a powerful criminal in Spiderman's world. Harry and Spiderman team up to stop Voldemort from getting his hands on some high - tech weaponry from Spiderman's universe. Spiderman teaches Harry some of his combat moves, and Harry shows Spiderman some basic spells.
Maybe in the fanfiction, Harry accidentally enters a parallel dimension where Lily is still alive. Here, Lily discovers that Harry is her future son. She might take him under her wing and train him in a different way of magic, one that was perhaps forgotten in Harry's own time. This could lead to Harry having unique powers and a different approach to dealing with the Dark Arts and his enemies.
A plot could involve Sherlock being a wizard all along but not realizing it until he meets Harry Potter. He has been using his logical mind to do what he thought was normal detective work, but it was actually his latent magic powers at play. Together, they could solve crimes in both the Muggle and wizarding worlds, using Sherlock's methods and Harry's knowledge of magic spells and potions.
One possible plot could be that the magical creatures in the Harry Potter world start to show up in Forks. For example, a hippogriff might fly over the forest near Bella's house, causing chaos among the vampires and werewolves. The wizards from Hogwarts could come to investigate these strange new creatures that seem to have a different kind of magic than what they're used to. Harry, Hermione, and Ron could find themselves in the middle of the vampire - werewolf feud, trying to figure out how to keep the peace and also protect the muggles in Forks from getting too involved in this new magical mess.
In this fanfiction, a new teacher arrives at Hogwarts who has a passion for both magic and glee. This teacher decides to start a glee - like club at Hogwarts. Harry and his friends are intrigued and join. They discover that music has a special power in the wizarding world. It can be used to unlock hidden magical abilities. The club then prepares for a big magical glee competition against other magical schools, with each performance having a unique magical twist.
Well, perhaps Byako is a being from another dimension. In the 'Harry Potter meets Byako fanfiction', Byako could accidentally cross over into the Harry Potter universe while being chased by some sort of other - dimensional foe. Harry and his friends could help Byako hide from this enemy while also learning about different forms of magic from Byako's world.
Perhaps in the fanfiction, the Ministry of Magic mistakes Loki for a powerful dark wizard. They try to capture him, but Loki easily evades their attempts. Harry Potter, being curious, decides to find out who this strange wizard is on his own. When they meet, Loki is initially hostile, but as they start to talk, they realize they both have a lot in common in terms of fighting against powerful and often misunderstood forces. They then form an uneasy alliance to face a new threat that is emerging in both their worlds.