Fate/Stay Night, History's Strongest Disciple Kenichi Crossover Challenge
There was too much damage done to the school during the Holy Grail War, so the students are sent to different schools while it's being rebuilt. Shirou gets sent to Miu and Kenichi's school, and overhears something about the local gangs. Being the wannabe hero that he is, he decides to do something about them. Maybe he catches the interest of the masters at Ryouzanpaku, but maybe he just uses what he knows, and grows as a fighter as he goes against more and more powerful opponents.
Avatar: The Last Airbender Challenge
Rather than one Avatar that can use four elements, there are four Avatars that can each use one element. They seem like normal, albeit powerful, benders, until they meet one-another, so the world still goes without Avatars, while Aang is frozen. The Avatar Spirits pull each other together, so Avatars almost always meet each other. The current Avatars are Aang, Katara, Toph, and Zuko.
The Avatar Spirit is still one spirit, but it's divided between four people, so they need to come into contact for it to "awaken." Since Avatars are powerful benders, people assume that a bender that stands out, when the Avatars haven't been found yet, is an Avatar. Aang would be assumed to be the Air Avatar, by the Air Nomads, who would be right. On the other hand, Toph, who people are either unaware of, or who is considered to be a weak, blind girl, is not assumed to be the Earth Avatar. People would also assume that Azula is a potential Fire Avatar, as opposed to Zuko, who is considered to be a failure. The Southern Water Tribe has no benders other than Katara, to compare her to, so they would probably assume that the potential Water Avatar is at the North Pole.
As for how Aang gained his icy-shell? Water Spirits? Maybe the full Avatar Spirit can use its full power in times of emergency? Maybe his quarter of the spirit preserved him in a bubble of air, and then the water froze around it, since nobody found him?
Avatar: The Last Airbender, The Legend of Korra Crossover Challenge
Aang is killed by the Fire Nation, and the next Avatar is Korra, who was born in the Northern Water Tribe. Naturally, with her personality, she flees to the Southern Water Tribe, but ends up falling in the water, and getting frozen. 80-90 years later, Katara and Sokka find her in an iceberg. Since Aang helped fight the Fire Nation soldiers, some of the Air Nomads and Flying Bison managed to escape, and live in secret. One of their descendents, Tenzin, marries a non-bender, Pema, and the two of them have three children: Jinora, Ikki, and Meelo. Asami Sato is the daughter of a wealthy family in the Fire Nation. Her father is an inventor. Maybe he takes the place of The Mechanist?
Basically, it's a merging of A: TLA and LOK. If you can think of a good way to add characters from LOK to A: TLA, then go for it.
Harry Potter, Avatar: The Last Airbender Crossover Challenge
Aang's energy ends up running out before Katara breaks the glacier that he's in. Since Sozin's Comet is coming, the spirits can't wait for a new Avatar to grow up, and start looking for a new hero. They end up finding Harry Potter, give him the ability to bend all four elements, and dump him in the Southern Water Tribe. Harry doesn't have to get the ability to bend, if you can think of a reason for him to meet Toph and get her into his group, and stop the invasion of the Northern Water Tribe, as well as get Katara to become a master water-bender. GETTING him to the NWT should be pretty easy, since you just need to have him take Katara there, so she can learn to bend, but without him learning how, and teaching Katara, things probably wouldn't come to a head with Master Pakku. Since Harry doesn't have a flying bison, it'd be useful if he could create a boat or flying carpet with his magic. Maybe a flying boat? I'll leave that up to whoever picks up the challenge.
Pairings: Harry/Katara/Toph/Azula(Possible)/Ty Lee(Possible, though I'd like it)/Mai(Possible), Sokka/Suki, Zuko/Mai(If Harry's not with her)
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