Another possibility is a post - Endgame fanfiction. After the events of Endgame, the Avengers discover a new threat that has ties to the Justice League's world. Maybe a powerful villain from the DC universe has somehow been awakened by the events in the Marvel universe. So they have to reach out to the Justice League for help and together they figure out a way to stop this new threat.
A different take could be a crossover during the time - travel parts of Endgame. The Avengers travel to different points in time, but accidentally end up in the DC universe's past. There they meet the predecessors of the Justice League. They have to work together without disrupting the timeline too much while also finding a way back to their own universe to complete their mission.
A fanfiction could focus on a character from each group being transported to a strange new dimension. For example, Iron Man from the Avengers, Batman from the Justice League and the Red Ranger from Power Rangers. They must work together to find a way back home while also dealing with the threats in this new world. This would allow for interesting character interactions as they come from very different backgrounds.
Another fanfic could be about a young inventor who discovers a Mother Box and accidentally activates it, which sends out a signal that attracts both the Avengers and the Justice League. The two groups initially think the other is trying to steal the box, leading to some tense confrontations. But then they figure out that there's a greater threat emerging because of the box's activation, so they join forces.
One idea could be that the Shinju's power somehow connects the Naruto universe and the Justice League's universe. Maybe the Shinju's energy creates a rift, and Naruto characters end up in the Justice League's world. They could team up to fight a common enemy that is attracted by the strange energy of the Shinju. For example, a powerful demon from Naruto's world could be drawn to the new universe and the Justice League, with their high - tech and superpowers, join forces with Naruto and his friends who have ninja skills and chakra abilities.
One idea could be a crossover where Goku is accidentally transported to the Justice League's universe. He might initially be seen as a threat due to his power but then they realize he's a good - hearted fighter. They could team up to fight a common enemy like Darkseid who has somehow acquired the Dragon Balls and is using them for his evil plans.
One idea could be that Iron Man's technology gets mixed up with Justice League's alien tech. Maybe he creates a new suit using some of the Kryptonian crystal technology he discovers while working with Superman. This new suit gives him powers similar to Superman for a short time, but it also has some unexpected glitches that lead to humorous or dangerous situations.
Batman would likely be very cautious around the Avengers at first. He'd be observing their tactics and technology. Thor, on the other hand, might be curious about the Justice League's powers, especially Superman's strength. He might challenge Superman to a friendly test of strength.
One idea could be that a character from the Naruto universe with the Rinnegan somehow gets transported to the DC universe where the Justice League exists. They could initially be seen as a threat, but then prove their worth by helping the League against a common enemy. For example, using the Rinnegan's abilities like the Six Paths powers to combat a powerful villain like Darkseid.
One idea could be a crossover where Goku meets Superman. They could have a friendly sparring match to test each other's strength. Maybe they start off misunderstanding each other's motives but then realize they are both protectors of their respective universes.
Another concept is that the magic from the Harry Potter series starts to seep into the DC universe where the Justice League operates. This causes chaos as the laws of physics in the DC world are disrupted. The Justice League has to seek help from Hogwarts professors to understand and contain this new form of magic energy. Superman might be intrigued by the idea of magic being a new power source or a new threat he can't easily overcome with his super strength.
Imagine a scenario where a young wizard from the Harry Potter world, who has a natural ability to open portals, accidentally opens a gateway to the world of the Justice League. However, this also attracts the attention of Silent Hill. The League and the wizards have to work together to close the portals and keep Silent Hill's nightmares at bay. The wizards can use their spells and the League can use their superpowers to fend off the encroaching darkness.