DC would win. Superman or not, DC's superheroes are superior in battle.
I'm going to compare the two most major teams: Justice League (excluding Superman) versus the Avengers
Members like Hawkeye and Black Widow are useless against the Justice League, unless they go against Batman, who would destroy them both.
The Hulk would shred Aquaman.
Thor and Wonder Woman would be a fun match-up, and whoever wins that is up in the air.
Green Lantern can and would take out Iron Man and Captain America, one on one or handicapped, it wouldn't matter.
Cyborg versus Iron Man is up in the air.
Justice League FTW
And many more heroes in the DC universe are pretty badass. Green Lantern Corps would destroy the Nova Corps, etc. DC would win, and I like DC more.
But Marvel movies are awesome.