Part of the appeal is that the Wonder Woman concept is pretty straightforward: She's a powerful Amazon sent to the world of man to fight crime. It's that simple. Also she owns a magic lasso and an invisible airplane.
The WTF Reinvention:
All that stuff was tossed aside between 1968 and 1973, when DC Comics decided to update Wonder Woman as a hip kung fu private detective without powers. Or a costume. Or, you know, anything else that might justify the use of the words "Wonder Woman" on the cover.
Wonder Woman #201 (1972)
"You dig this diggity dig diggeroo, hepcat? It's the '70s, by the way."
Though DC was probably trying to cash in on that whole "feminism" thing with this move, it all happens because of a guy: In Wonder Woman #179, her boyfriend Steve Trevor (the male Lois Lane) gets in serious trouble and she has to help him -- meanwhile, the Amazons announce they are leaving for another dimension and that Wonder Woman must come with them if she wants to keep her powers. Knowing that Steve would die within two days if left to his own devices, WW gives up her costume and Amazonian abilities to stay with him.
Luckily, she's not helpless for very long because she immediately runs into a blind guy called I Ching who teaches her kung fu.
Wonder Woman #179 (1968)
"The secret to kung fu is -- holy shit why is my left arm Caucasian?"