There was a thread similar to this in ComicVine and here's what I posted there:
First off, my X-Franchise is set in a world that has a rapidly increasing population of both mutants and inhumans.
- The terrigen mists has been causing negative effects on mutant-kind creating conflict between the two peoples with mutant-inhuman fights becoming common place. Madripoor became a mutant haven and the mutant populace are now the majority in the island nation with Magneto as its ruler.
- Massive hate and hysteria against mutant-kind and inhumans alike has surfaced around the world and the Purifier movement has risen as a result. Thousands of people joined the Purifier cause, along with funding donated by multiple high-ranking and affluent individuals from all over the world, the Purifiers now has as much power as a nation.
- Constant attacks and pressure from the local government caused the Jean Grey School to shut down and it's faculty and student body relocated to a newly established school in Madripoor called the X-Men Mutant Academy. Emma Frost and Mystique are appointed co-headmasters of the school. Due to the threat posed by the inhumans and the ever growing Purifiers, the X-Men Mutant Academy is, essentially, more militant and focuses more on training young mutants to become X-men.
- The O5 found a way to go back to their timeline but Angel's Black Vortex powers hinders them to use it. Angel's Black Vortex powers turned out to be dangerous as it rips apart his body. It took the combined efforts of the O5 and Adult Angel to put a stop to it but, as a consequence, Teen Angel's psyche was swapped with Adult Angel's. Teen Angel is now in Adult Angel's body along with the Lifeseed and the Black Vortex empowerment. Teen Jean remedied this by transferring Teen Angel's memories, who is in Adult Angel's body, to Adult Angel who is in Teen Angel's body. Being in his adult self's body, Teen Angel decided to stay behind in the current timeline while the rest of the O5 returned to their timeline along with Adult Angel, in Teen Angel's body. (I said Angel way too much in this paragraph. Angel, Angel, Angel, Angel!)
- Now that the setting is, well..., set. Let's get down to the books.
- Uncanny X-Men, because there should always be an Uncanny series.
Team composition: Magneto (as leader), Namor, Emma Frost, Mystique, Beast, Juggernaut and Magik
Story: In order to ensure the safety of his people, Magneto struck an alliance with Namor and assembled a team comprised with the ablest mutants he could find. Even though not a mutant, he convinced Juggernaut to join his cause as an alternative to hunting down Cyclops. Wanting to honor her late husband, Charles Xavier, Mystique joined Magneto's X-men. Magneto offered a place for Beast in his X-Men to better use his intellect for the betterment of mutant-kind, eager to redeem himself from his past mistakes, Beast joins Magneto. Emma Frost was given sanctuary in Madripoor and was given a chance to be co-headmaster of the X-Men Mutant Academy along with Mystique. She remembers the events in Genosha that lead to the deaths of her students and swore to never let anything like that happen again so, she found herself in Magneto's X-Men. Knowing that magic is a realm that even he couldn't conquer, Magneto seeked out Magik and convinced her that her skills and abilities are much needed in securing a future for mutant-kind, she reluctantly joins.
Purpose: Magneto's X-Men deals with the extreme threats that will affect mutants all over the world whether it's political, super-strong adversaries, strange diseases or magical. (I basically want a team of X-Men comprised of former X-men villains. I'm also excited for the All-New Uncanny X-Men. )- Cyclops and X-Force, because Cyclops is still right.
Team composition: Cyclops (as leader), Angel, Dazzler, Hijack, Tempus, Ruby Summers and Hope Summers
Story: Being the symbol of the mutant revolution and, therefore, mutant freedom/pride, Cyclops declined Magneto's offer of sanctuary in Madripoor and opted to use his image to further rally the mutants to take a stand. He assembles a team of X-Force to be able to defend mutants from attacks and to send a message to the enemies of mutant-kind that mutants are capable of fighting back. Angel is left alone by his friends in a different time, in a different body and Laura ended their relationship by stating that she didn't feel the same way about him as she did before, then she simply left . As for these reasons, Angel became bitter, wrathful, destructive and without purpose. In a fit of rage, he ousted Anole from Worthington Industries and took full control of his family's company and fortunes once again. Money didn't give him happiness, however, as his lack of purpose continue to plague him. Cyclops came to him to offer him a place in the X-Force and, with nothing else to do, he joined. Dazzler and Hijack joins Cyclops because they believe he's right. Hope Summers, after recovering from a coma, convinced Cyclops to let her join the team despite Cable's protest. Ruby Summers found solace in the idea that this reality's version of her father also leads a mutant revolution and decides to join. Tempus joins after being rescued by Cyclops from his team's first mission against a mutant hating group of inhumans. The inhumans are then revealed to have been experimenting on her powers effectively breaking them. Tempus's powers are now reduced to creating time domes for a short time and could no longer time travel.
Purpose: Cyclops' X-Force deals with enemies that Magneto couldn't be seen dealing with as a leader of a nation and in a manner that would get the media's attention.- Secret X-Force, a team of killers.
Team Composition: Cable (as leader), Psylocke, Domino, Wither (Josh Foley), Deadpool, Forge and Colossus
Story: A team of X-Force formed by Cyclops to terminate their enemies with extreme prejudice. After receiving haunting visions of the future, Cable agreed to Cyclops' offer to lead a team of killers against the enemies of mutant-kind. Deadpool joins the team because he wants to hangout with his buddy Cable. Psylocke joins because she feels that her skills would be better utilized in this manner. Domino and Forge joins by virtue of being on the last X-Force team lead by Cable. Josh Foley stopped calling himself Elixir and started calling himself Wither when his powers didn't allow him to heal anyone. Instead, his powers turned to simply creating and spreading diseases which caused him to isolate himself until Cyclops convinced him that his powers could help a lot of people if used on the right people thus, he joins Cable's X-Force. Colossus joins to be with Domino even after Domino warns him about the nature of the team.
Purpose: Cable's X-Force deals with plots before they become threats to mutant-kind often by terminating them with the heavy use of firearms, blades and diseases. They remain a secret to their enemies and to the rest of the X-Men.- Avenging X-Men, a team of X-Men that are also Avengers.
Team Composition: Havok (as leader), Polaris, Quicksilver, Scarlet Witch, Smasher (Izzy Kane), Cannonball and Sunspot
Story: In response to his brother's revolutionary stance and Magneto's isolationist stance, whom he feels are both causing more damage than good to mutant-kind's image, Havok decided to form a team of X-Men that are also, in effect, Avengers based in New York. Scarlet Witch along with her brother, Quicksilver, joins in order to show everyone that they are unaffiliated with their father in Madripoor and to continue to redeem herself for M-Day. Polaris joins the team because she doesn't like the idea of her father leading the X-Men and feels that this team would do much more good to people regardless of whether they are mutant, human or inhuman. Cannonball and Sunspot joins Havok because of their history of being members of both the X-Men and the Avengers. Smasher joins to be with her husband even though she is not a mutant.
Purpose: They are Avengers but, they are also X-Men. Havok's X-Men attempts to show the public that mutants aren't only limited to revolutionaries or isolationists and that mutants can be superheroes too. They tackle threats that affects everyone not just mutants.