Antiope Aphrodite Artemis Artemis of Bana-Mighdall Drusilla Etta Candy Fury Hephaestus Hera Heracles/Hercules Hermes I Ching Julia and Vanessa Kapatelis Justice League Superman Batman The Flash/Barry Allen Green Lantern/Hal Jordan Aquaman Martian Manhunter Cyborg Mala Nemesis (Thomas Tresser) Nubia The Olympian Orion Paula von Gunther Philippus Poseidon Queen Desira Queen Hippolyta Helena Sandsmark Sarge Steel Steve Trevor Wonder Girl (Cassie Sandsmark / Donna Troy) Zeus Zola
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.
Her level of super strength (as granted to her by Demeter) is comparable to that of the Earth itself (as this is where she derives her powers). She is on the same strength level with the strongest other DC’s characters including Superman and Captain Marvel. Thus, she is capable of lifting/carrying thousands of tons with minimal effort. It is generally accepted that she is a notch below Superman. Wonder Woman was even able to take on Powergirl in a hand to hand fight while trying to free her from mind-control. Wonder Woman and Captain Marvel were an even match when they fought. On one occasion she even used her massive strength to move the Earth (though this was under duress and aided by Superman and the Martian Manhunter.) With the launch of the new 52 Wonder Woman showed a new strength level while fighting a God, she removes her bracelets and goes into a "berzerker rage" of power, which originally allegorical to a person losing control to their destructive Ego. We then find out that Wonder Woman's bracelets are what protects her opponents from her intense power. Wonder Woman had a quick match with Supergirl where we found out that they are close in strength, Wonder Woman over powered Supergirl with her bracelets still on.
Throughout Diana's childhood, she was training and sparring with her Amazonian sisters. One day when pilots were test flying, one of the pilots called Steve Trevor, has an accident with his plane, and Hippolyta opens Themyscira's shields and disguise, and Steve Trevor lands his plane on Paradise Island. Steve then proceeds to explore the island, and that's where he finds beautiful women bathing, but while staring at the women, Diana surprises him from behind and takes him out by kicking him in his testicles. Steve is then strapped up because of Hippolyta keeping him safe until someone proves worthy enough to escort him back to the USA. Wonder Woman while covered in a helmet, wins the challenges and gets to escort Steve back home, but while the challenges were going on, a traitor in the Amazons freed Ares because she loved him. Ares is free, and he goes to Hades so he could remove the bracelets blocking his powers.Throughout being in USA, Diana also tries to stop Ares' plans as Wonder Woman, but she fails the first time, and Ares gets ahold of the power he was searching for. After calling in his army, the US finds an island that appeared out of nowhere on the map, that being Paradise Island. They set off a nuke towards Paradise Island, and Steve manages to stop it, and at the same time, Wonder Woman defeats Ares with help from her Amazonian sisters. She realizes her feelings for Steve, and she kisses him, but when being back in Paradise Island, she looked sad. Hippolyta allowed her to operate in the outside world where she shared her feelings and her life with Steve.
Having learnt of Wonder Woman's inability to return to Themyscira, Doctor Veronica Cale, a wealthy and powerful woman, set into motion a plan to use Wonder Woman to find Themyscira. Years earlier, Cale's daughter Izzy had her soul stolen by the gods Phobos and Deimos. They told Veronica that they would only return her daughter to her if she helped them find Wonder Woman, and got the location of Themyscira from her. Seeing no other option, Cale had formed a team called Godwatch, dedicated to locating Diana and Themyscira. 
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