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.
Wonder Woman’s powers are a result of the blessings she received from the gods (or presumably in the modern version by her divine ancestry), but originally came from her "brain energy" training. Her abilities in large part come from her upbringing in the martial society of the Amazons. She is one of the most powerful superheroes in the DC universe.
Gloria Steinem, editor for Ms. magazine and a major supporter of Wonder Woman, stated "... [Marston] had invented Wonder Woman as a heroine for little girls, and also as a conscious alternative to the violence of comic books for boys." Badower described a near-international incident (involving an unnamed Russian general rolling dozens of tanks and munitions through a shady mountain pass) as an outstanding example for standing up to bullies. "She ends up deflecting a bullet back and disarming the general," he says, adding that "she doesn't actually do anything violent in the story. I just think that Wonder Woman is smarter than that."
The Invisible Plane was a creation of Diana's during her younger years on Paradise Island. She created it to be an improvement on her mother's planes which would be shot down in Man's World. The result of her innovation was an invisible plane that could fly at terrific speeds silently and not be detected by hostile forces. Initially, it was portrayed as being transparent.
Wonder Woman is one of the students nominated to be Hero of the year, with everybody believing she will actually win the prize. When Big Barda accidently breaks Wonder Woman Shield, she (With Supergirl, Batgirl and Bumble Bee) travels to Themyscira to repair it. Her friends meets her mother, Queen Hippolyta, who is overly proud of her, having rooms devoted to her daughter trophies. After rescuing a captive Hyppolita, Wonder Woman goes back to Super Hero High to fight Eclipso. When Eclipso retrieves to the moon, Supergirl and Wonder Woman travels there and together managed to defeats the enemy. After Bumble Bee win the Hero of the Year award, Wonder Woman asks Hippolyta if she is not dissapointed by her, but her mother replies that she cannot be more proud. She is voiced by Grey DeLisle.
After defeating Giganta in battle, Wonder Woman was approached by a lawyer who informed her that she had inherited the estate of Hercules, who had been killed. Shortly thereafter, she was told by A.R.G.U.S. that Hercules' body came from an area containing traces of energy unique to Apokolips. Diana visited Hercules' home and found a letter addressed to her, informing her of the location of her twin brother, Jason. She found him in Greece, and the two seemingly began to bond, only for Jason to turn against Diana after the arrival of Grail, who he had secretly allied himself with. Grail had begun killing children of the earthly gods in order to use their divine power to restore her father Darkseid to adulthood, as he had been turned into a baby at the end of the Darkseid War. Jason allied himself with her in order to exact revenge on Wonder Woman, as he resented her for not seeking him out after she learned of his existence some time ago and was envious of her. However, as Darkseid was about to drain Diana's life force, Jason regretted his actions and joined Wonder Woman in battle against Grail and Darkseid. Then, Hercules' lawyer revealed his true identity as the King of the Gods himself, Zeus. Zeus fought Darkseid while Wonder Woman took on his daughter, Grail. Ultimately, Zeus was defeated and his life force was drained by Darkseid, restoring the Apokoliptian to his full adult form. The Justice League arrived, forcing Darkseid and Grail to retreat through a Boom Tube. In the aftermath of the battle, Diana forgave her brother for his deceit.
With Zola's pregnancy reaching full term, she insisted on seeing her own doctor in Michigan. While there, they were all attacked by Artemis and Apollo. Unprepared, Diana and her companions were defeated, and Zola was taken to Mount Olympus to be delivered to Hera in exchange for the throne. Apparently, Hera was willing to give up her throne for the sake of revenge. However, she had expected Zeus to return as soon as his rule was threatened, which he did not. When Apollo sat on the throne, he was crowned ruler, and when he learned of Hera's deceit, he exiled her from Olympus.
In her debut in All Star Comics #8, Diana was a member of a tribe of women called the Amazons, native to Paradise Island – a secluded island set in the middle of a vast ocean. Captain Steve Trevor's plane crashes on the island and he is found alive but unconscious by Diana and fellow Amazon, and friend, Mala. Diana has him nursed back to health and falls in love with him. A competition is held amongst all the Amazons by Diana's mother, the Queen of the Amazons Hippolyta, in order to determine who is the most worthy of all the women; Hippolyta charges the winner with the responsibility of delivering Captain Steve Trevor back to Man's World and to fight for justice. Hippolyta forbids Diana from entering the competition, but she takes part nonetheless, wearing a mask to conceal her identity. She wins the competition and reveals herself, surprising Hippolyta, who ultimately accepts, and must give in to, Diana's wish to go to Man's World. She then is awarded a special uniform made by her mother for her new role as Wonder Woman and safely returns Steve Trevor to his home country.
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.