Wonder Woman comics have always carried the theme of strong, independent women. This may be attributed to Elizabeth Holloway Marston, wife of the character's creator William Moulton Marston (who also created the polygraph). It was her idea to create a female superhero when her husband was contacted by what would become DC Comics to write something for them after reading an interview he had done on the potential educational value of comic books.
A member of the fabled Amazons, Diana Prince, AKA, Wonder Woman was imbued with super strength and other powers of the gods, and armed with her silver bracelets and lasso of truth. She stood tall, was beautiful and sexy, and she was heroic. She was grounded in morality and fought for the good of her people and of innocents everywhere. She was feminine and powerful at the same time.
After Crisis on Infinite Earths, many aspects about Wonder Woman were altered. For example, before the Crisis she had powers of the mind that came from training with the Amazons that allowed her to channel strength into her muscles, which gave her the super strength. However, post-Crisis she was gifted those powers from the gods, among others. Now she can also fly, for instance.
Whatever powers the Greek gods have Wonder Woman theoretically possesses. She has access to flight, super strength, super speed, and many other abilities, all of which haven't been fully realized. She is quite possibly the most powerful character in the DC Universe, maybe even more powerful than Superman. She is certainly his equal in terms of strength at the least.
Most recently in Wonder Woman comics the character has taken a darker turn. After the death of Justice League of America member Blue Beetle, Wonder Woman tracked down and killed Max Lord, the man responsible for Blue Beetle