Well, my idea was somewhat akin to The Ultimates, but not entirely. The members of the League are not government agents, but the group is funded by the government. At first, at least. You see, the government realizes that more superhumans are popping up. SO, in an effort to use what they see as a natural resource to their advantage, they bring a group of them together. Basically, the League's job is, whenever something paranormal happens, and it turns hostile, they go in and kick it's ass. The initial line up is The Flash, Green Lantern, Superman, Wonder Woman, Aquaman, Martian Manhunter, and The Atom serving as their tech guy. Eventually, something weird goes down in Gotham, and of course they run into Batman there. While not much help as a direct combatant, he helps come up with battle stratigies, and soon becomes an ally of the group, but not an official member. Warry of the Justice League, he forms his own team of superhuman vigilantes called the Outsiders in the event that the government uses them for less than honorable things. Eventually, the team gets fed up with the government controling them. So, Wonder Woman and Aquaman use their status as U.N. diplomats to have the team become international in nature. Part of that deal is that superhuman operatives representing the world's super powers join the team. New members include the Crimson Fox sisters from France, Rocket Red from Russia, The Knight from England, and Captain Atom from the U.S. They maintain their status as the group that handels paranormal threats.
But then, that's my idea. It may be changed later on.