The twist for this fight is that the powers of the JLA have been given to the girls from the recent controversial visual novel Katawa Shoujo. All JLA members are pre new 52.
Shizune Hakimaichi: The deaf student council president of Yamaku academy, has been granted the skills and equipment of Batman. Best friends with Misha.
Shiina (Misha) Mikado: Shizune's bubbly pink-haired interpreter, has the full-powers of Superman. Is romantically interested in Shizune.
Emi Ibarazaki: A talented track athlete, Emi lost her legs at a young age and had them replaced with prosthetics. She now has the powers of the Flash (Barry). The frictionless Speed-Force aura extends to her prosthetics and her top speed (pushing herself to the absolute limit) is 50% light speed. Good friends with Rin.
Lily Satou: A well-mannered and very tall young lady, Lily has been blind since birth. She has the powers and equipment of Wonder Woman. Best friends with Hanako.
Rin Tezuka: Due to a birth defect and subsequent surgery Rin has miniscule stump-like arms. As such she uses her mouth and feet to get things done. So great is her dexterity that she even uses her feet and mouth to paint. Rin is an extremely talented artist and is a total space-case, a real weirdo as it were. Has a fully charged Green Lantern ring. Good friends with Emi.
Hanako Ikezawa: Hanako lost both of her parents in a house fire which also burned a great deal of her skin. Hanako is very shy and can panic at even the most rudimentary of day to day interactions. Lily is her best friend whom Hanako is very dependent on. Hanako has the powers of Martian Manhunter.
The girls will be facing this roster of the Avengers.
Thor: Rocking his duds from Thor: God of Thunder
Iron-Man: Has the Bleeding Edge suit.
Wolverine: Standard power level
Spider-Man: Octavius, has the advantage of having 8 minutes to comb his lab for equipment.
Captain America: In addition to his suit and shield has a Desert Eagle pistol, three flash-bang grenades and a combat knife.
Hulk: The Gravage (WWH/WBH) personality from Pak's run.
Wildcard: If the battle isn't over in 3 minutes then Hyperion will come in to help The Avengers.
The "Justice League" is aware that the Avengers are going to arrive in the Quinjet in 30 seconds, they have this time to practice with their new powers. The girls are aware of what hero's powers they have acquired but only have the background knowledge on that hero that their demographic (Japanese teenage girl) could reasonably expect to have. So they would know the broad strokes of say Superman's powers but not Martian Manhunter's.
The Avengers have 8 minutes before the fight to look up the powers and abilities of their soon to be opponents on Comic Vine. (Spider-Man's lab prep time comes after this research).
When the fight begins these will be the initial match-ups:
Thor vs. Misha (Superman)
Iron-Man vs. Rin (Green Lantern)
Hulk vs. Emi (Flash)
Captain America vs. Shizune (Batman)
Wolverine vs. Hanako (Martian Manhunter)
Spider-Man vs. Lily (Wonder Woman)
Fight is won by incapacitation, death or BFR
Fight takes place at Yamaku academy (the school from the game Katawa Shoujo).
Here is the link to the game's website. The game's download is free and the site contains bio's on all the girls and major characters.
Edited: This was my first thread on the Battle forums. The initial response was lukewarm. most posters felt that the Katawa girls would win easily given the parameters. Hopefully the revisions I made will allow for a more lively debate.