I would pay so much money to watch this movie.I've given it some more thought because I'm a complete nerd and that's what I do, and I've come up with an ideal sort of scenario where The Avengers might take this fight.
First, the fight has to take place on The Avengers' Earth. There is no speed force in their universe rendering the Flash powerless. That's one down.
Superman would pretty quickly realize that the Hulk is an almost uncontrollable threat to them and everyone around them so he immediately flies him into orbit and tosses him into the sun, or perhaps just into deep space. While this is happening, Cap makes sure the Avengers pull ahead by curb stomping Batman with his superior physical abilities.
With Superman occupied by dealing with the Hulk, Thor and Iron Man prove to be more than a match for Green Lantern, splitting his focus and, in Thor's case, outright overpowering him with his magical hammer. Superman returns to the fight to find his team incapacitated. Cap stands around being useless because he can't even see Superman moving while Thor holds him off. While they duke it out, Iron Man could maybe, through sheer luck/brain power/plot armour figure out Superman is fueled by the sun, deduce that light approximating that from a red star might depower him, and use his personal deus ex machina suit to cobble something together capable of sapping Supes powers.
Earth saved. Logic, common sense, and anything resembling real science destroyed. Avengers triumphant.