The smart thing for the JLA to do would be for Diana to engage Thor. She's taken down numerous gods (i.e. Ares) before. And she knows EXACTLY what to expect from Thor. They would battle for hours on end. (WW would probably lose though). Thus the Avengers most powerful ally is quite occupied.
Team Speed eventually takes over and thus DC takes this one more often than not. Flash (if he knows anything about Scarlet Witch goes there first), which nullifies anything dramatic that Marvel can do. If not however, things could get interesting. Thor could also godforce blast Team DC killing and/or knocking out some....but again only if Flash hasn't given him 500 nuggies to the head first.
Gender: Unspecified Location: My own sexy little world!
Alas truer words were never spoken. though I see more of a 9/10 for the JLA and you would have to match Thor against Diana though she would probably lose there is the chance she won't before either someone else is finished and helps her. And since Thor throws his hammer on occasions there also the possibility she'll pick it up and an amazonian goddess of thunder takes the whole avengers cause i doubt she'll waste using the Moljnir's full potential since she become so bad***.
P.S. don't count out the lasso she can be hit with the hammer and still get up but, Thor only needs to be wrapped up once.
1) Thor would engage Superman in an epic battle that'll probably have the entire Earth and its surrounding space as their battlefield.
2) I think Hulk would take out Wonder Woman given sufficient space, but if he's in the middle of the battle, he'd do more damage to his own team than to the JLA. Then again, if he went purely ballistic, he'd be swapping away at everybody like Doomsday and Wonder Woman would ask Superman or Lantern to help stop him.
3) But Lantern would have his hands full of Iron Man. Iron Man would have a b1tch of a time with Green Lantern, but would probably begin to overpower him with a multitude of weapons including guided missiles, photon blasts, holographic projections and hypersonic emitters. Stewart would need to concentrate for a second to get over the yellow weakness which is probably enough oppurtunity for Stark to figure stuff out. Because if this is pre-Rebirth Stewart, without the knowledge of how to get past yellow, he'd so get handled like a redheaded stepchild.
4) Cap would keep Bats too occupied physically for Bats to formulate strategy and counters. He'd have to put all his cunning into brawling in order to not get overwhelmed by Cap. By that same token, Cap would probably not be able to strategize at all either.
5) If Superman came to Wonder Woman's aid, then Thor would have every oppurtunity to whack the daylights out of either Wonder Woman or Superman with some godly magic-enhanced shots from Mjolnir. Although I think Stark would ask Thor to help take out Green Lantern and make it a five on four battle.
6) And the most important battle? Scarlet Witch would make Flash trip over himself or run so fast that he gets trapped into the Speed Force. Which I think she could, since I would suspect Flash, not knowing her powers would first try to steal Cap's shield and Thor's hammer. (Sneaky Wally!)>:P Then Wanda would be able to hex him. After that, she'd hex every other opponent starting with Superman and reverse the effects of yellow sunlight, having Batman turn clumsy and making Wonder Woman fall in love with the Hulk. AVENGERS 4-EVA!
Gender: Male Location: Avalon where none Dare to Tread
this is what happens....flash speeds through and KO's scarlet witch in a picosecond, races around the world and IMPs hulk
bats and cap duke it out. if caps gets teh advantage, flash steals his shield. if cap is still winning, he pulls down his pants and twists the mask on back to front. bats wins
GL and iron man have devastating attacks that they use on each other, but as ironman is an earth based hero and GL is a cosmic hero, GL wins. he will drain the energy from the armor and blast thor with it as he battles supes and ww
thor holds his own fairly well against the titans, but he is alone vs the JLA so he must do what everyone else does when fighting the league .... fail
JLA wins.
hulk finds his way baks and ww lassoes him and supes punches him to the moon