The JLA's first trip to the universe is where Owlman is found hacking computer systems to get the info he needs. There, the JLA fights recruits the Crime Syndicate of America has recruited. Their second trip was when Batman followed Superwoman, and defeats her. After taking out Superwoman, he calls the JLA, and alongside the JLA travels to the moon, to get to the Crime Syndicate's headquarters. From there on, every JLA'er fights against their counterparts, and Wonder Woman manages to even win against her counterpart, Superwoman.
Marston was sure he knew what line not to cross. Harmless erotic fantasies are terrific, he said. “It’s the lousy ones you have to look out for—the harmful, destructive, morbid erotic fixations—real sadism, killing, blood-letting, torturing where the pleasure is in the victim’s actual pain, etc. Those are 100 per cent bad and I won’t have any part of them.” He added, in closing, “Please thank Miss Roubicek for the list of menaces.”
Meanwhile, the New God Orion had learned that a great danger was to be found on Earth in the form of the child of a god. He sought out his old friend Milan for help. Nearby, Diana and Lennox decided to seek Milan by themselves, leaving Zola and Hera to bicker with one another in the meantime. They found him in the old subway system with Orion. Though their encounter began violently, Lennox managed to explain that they had accounted for six of the seven children of Zeus. Orion believed that one of those seven was the child that he had been sent to kill. Lennox and Diana concluded that he was referring to Zola's kidnapped son, and so they convinced Milan to search through the ether until he located the boy in the arms of Demeter. When they all returned to Manhattan to find Zola and Hera in a bar with War, Diana managed to convince her uncle to lead her to Demeter's domain.
When she is preparing for the final game (Teaming up with Supergirl, Starfire, Bumblebee and Batgirl against Lobo, Maxima, Bleez, Mongal and Blackfire), the competition is interrupted by Lena Luthor. Wonder Woman starts putting civilians safe, including the Embassador, who, out of fear, orders her to star with him to protect him. She refuses and returns to the batlle, angering the Embassador. She fight Lena and then Brainiac. Upon their defeat, Wonder Woman rejoins with her mother, thinking she dissapointed her by no following the Embassador orders, but Hippolyta is proud instead, stating that Wonder Woman will be an amazing Queen.
Wonder Woman was minorly associated with the series 52, and in the One Year Later universe following Infinite Crisis she becomes a member of the Department of Metahuman Affairs. The most memorable story arc from this era was the much maligned Amazons Attack story arc, which many fans felt was not engaging nor did it do enough service to the well-established characters. After Gail Simone took over the series, a number of memorable story arcs took place, foremost among them Rise of the Olympian and Warkiller. Following the departure of Gail Simone the character was relaunched into the storyline Odyssey, where she must discover who she is and what has happened to her life. During this period she also took part in the events of Blackest Night where she was first a Black Lantern and later a Star Sapphire.
One day, the young Uxas of Apokolips came to Rome. There he spread tales of the great Olympian gods. Their following grew tremendously in Rome and so they created avatars of themselves; they were worshipped under different names. Uxas knew that each half of the pantheon would be less powerful than the original gods. Later as the god Darkseid, Uxas would use this knowledge to crush Zeus himself.
If you're looking for a certified God of War on a personal vendetta against a pantheon of gods, Wonder Woman has you covered. The current version of Diana hacking and slashing her way through the DC Universe, anyway. After unintentionally bringing a new collection of "Dark Gods" into the comic book universe, it falls to the daughter of Zeus to save Earth from their malice.
The Silver Age format for comic books also did not generally favour a lot of story arcs, or at least, not memorable ones. In this period though the character did undergo some consistent changes as she battled a variety of common foes including Kobra, but the changed format gave her the ability to develop more as a character. The silver age stories of Wonder Woman can be broken into a few general arcs – the depowered stories (in the mod girl phase), undergoing tests to re-enter the Justice League of America, a golden age story about her work during the Second World War, her adventures as an astronaut for NASA, the hunt for Kobra, and eventually the return of Steve Trevor and the internal politics of working at the Pentagon. The most famous story which she was involved with at this time was “For the Man Who Has Everything”, a story focused on Superman, but also involving herself and Batman. The first major story arc which she was part of was Crisis on Infinite Earths, which also ended her silver age appearances.