Due to the format of most golden age comics, the majority of story arcs at the time for all characters were the same, Wonder Woman included. More accurately that is to say that there were not story arcs at all, as issues contained two to three stories, all of which started and concluded within the issue in question. There was therefore not much continuity in Wonder Woman until she reached the silver age. The few exceptions to this were in issues which contained a common theme, such as Wonder Woman meeting some leprechauns and each of the three stories dealing with that. Alternately there were some common themes for the character at the time, one of which was dealing with enemy saboteurs. These were mostly contemporary, and thus started as either the National Socialists in Germany or the Imperial Japanese. Later these became others.
As noted above, in most of the comic iterations, the Amazons must find a champion to help stem an existential threat from the outside world. Up until the ’80s, Wonder Woman was pressed into service against Nazi Germany. Pérez’s version, set during the Cold War, changed it to the nuclear threat presented by the Soviet Union. The film, meanwhile, is set in 1918, during the waning days of World War I.
Beginning with her initial appearance in All-Star Comics No. 8, Wonder Woman has used an invisible plane to get around. But when her character’s powers were revamped in the 1980s, she was given the power of flight, eliminating the need for her one-woman air force. While director Patty Jenkins told Yahoo Movies that she’d love for the invisible jet to make an appearance onscreen in the future, the DC Extended Universe version of Wonder Woman follows the latter-day comic playbook, meaning Wonder Woman can fly.
In March 2005, Warner Bros. and Silver Pictures announced that Joss Whedon would write and direct the film. Early drafts of his screenplay included Steve Trevor as the narrator, a fierce battle between Diana and her mother over Trevor's welfare, and after leaving Themyscira, his need to frequently rescue a Diana rendered helpless by the modern world. Whedon was not able to complete a final version of his screenplay, and left the project in 2007.
When Diana returns she takes on the persona of Diana Prince, now a secret agent and member of the Department of Metahuman Affairs. She is partnered with Nemesis and the two report to Sarge Steel. Her first assignment is to retrieve her sister Donna Troy, who has been kidnapped by several of her most persistent enemies; their powers have been augmented by Circe. After this is accomplished, Diana takes back the title of Wonder Woman.