Duing the Perez run on the character, there were not as many story arcs either, but they did become more defined. Her entrance into Man’s World was to stop a global nuclear war created by Ares. She also had introduced a modern version of the Cheetah, Circe, Doctor Psycho and Silver Swan. One of the defining story arcs at this time was the Challenge of the Gods, where she discovers the truth about her own past as she journeys into the underworld. In this time as well she was a part of numerous company-wide crossovers including Millennium, Invasion and one focused on herself, the War of the Gods. The latter was Perez’s swansong on the character and with Messner Loebs taking over afterwards the direction of the character changed again somewhat. Under his direction, Diana became involved in battle factions of organized crime in Boston, and faced off against Ares Buchanan and the White Magician. This resulted in Wonder Woman being marooned in space, and returning to uncover the plot. During the events of Zero Hour a slightly different version of her origin is told, and Artemis wins the right to be Wonder Woman in another contest. This ends eventually with Diana battling the White Magician after Artemis has been killed. The John Byrne run equally was without as many defined story arcs except specifically with how her death affected others. This was also incorporated into the company wide Genesis event. Once she returned she faced a new villain known as Devastation who she battled occasionally, and she also took responsibility for Cassandra Sandsmark (who would later become Wonder Girl.) As a prominent character within the DC universe she took part in company-wide crossovers like Our Worlds at War and the Joker’s Last Laugh. When Rucka took over, some of the character's most memorable story arcs occurred, and most famously among them Stoned and the Superman story arc Sacrifice which ended in Wonder Woman #219 with her killing Maxwell Lord.
While in London, Wonder Woman was summoned to help a young lady called Zola from the minions of the goddess Hera and after Diana defeated the enemies, she was informed by Hermes that Zola was pregnant with Zeus’s child, which caused Hera’s wrath. Diana then took took Zola and the injured Hermes to the island of Themyscira, home of the Amazons, where Hera’s wrath reached them in the form of her daughter Strife. Wonder Woman used the Lasso of Truth to stop Strife from hurting the Amazons, but it caused her to reveal the fact that Diana and her were sisters. The next day, Diana learned from her mother that she was in fact Zeus’ daughter and, hurt by her existence being a lie, she decided to renounce the name Diana, and swore never to return to the island again.
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.
Veronica Cale employed the toxicologist Colonel Poison, who led Team Poison, a team that attempted to capture Diana and Steve. In order to protect Diana in her vulnerable state, Steve had her admitted to a mental hospital in London. Team Poison continued to pursue Steve, Barbara and Commander Etta Candy, however. Barbara, who had been a member of Godwatch when she was Cheetah, decided to speak to Veronica herself. Cale and Doctor Cyber showed Barbara footage of Team Poison, who were about to kill her friends, and Barbara agreed to become Cheetah again in exchange for Veronica calling off the team and sparing their lives.
The Gods, led by Athena, create the Amazons in Greece to realize their ideals and bring humans into following them. The leader of the Amazons, Hippolyta feels a yearning for a child). She makes a clay form of a child and prays to the Gods. Hearing this the Gods give the clay form, transforming it into a live child blessed with Gaea's gift, life. The Gods grant her various abilities and she grows up as Diana of Themyscira.
“As to the ‘advanced femininity,’ what are the activities in comic books which women ‘indulge in on an equal footing with men’? They do not work. They are not homemakers. They do not bring up a family. Mother-love is entirely absent. Even when Wonder Woman adopts a girl there are Lesbian overtones,” he said. At the Senate hearings, Bender testified, too. If anything in American popular culture was bad for girls, she said, it wasn’t Wonder Woman; it was Walt Disney. “The mothers are always killed or sent to the insane asylums in Walt Disney movies,” she said. This argument fell on deaf ears.