Accuracy wise the Green Lantern origin story is quite sound, as a young and reckless airforce pilot is given the ring by a dying Abin Sur.
DC did an amazing job with setting up Abin Sur’s previous dealings with Parallax, so things appear to be moving right along when he gives the ring to Jordan. Even what followed as Hal first comes to terms with his new power and how it has changed him is rather good.
The origin as a whole is left intact and only gets better once Hal gets to OA and meets the other Lanterns. Some had an issue with the additional quippy elements that Reynolds brought to the character, but those don’t detract as much as you think.
It’s the other elements, like anything to do with Hector Hammond or the fact that he fights essentially a gross cloud of fear at film’s end. It was a bit too convoluted, but as an origin, it is actually quite successful.
So, is it better than Wonder Woman?
Of course not, but that has more to do with intentional decisions about character more than an inaccurate origin.
The official synopsis for Green Lantern can be located below.
‘Bringing the enduringly popular superhero to the big screen for the first time, “Green Lantern” stars Ryan Reynolds (“X-Men Origins: Wolverine”) in the title role, under the direction of Martin Campbell (“Casino Royale”).
In a universe as vast as it is mysterious, a small but powerful force has existed for centuries. Protectors of peace and justice, they are called the Green Lantern Corps. A brotherhood of warriors sworn to keep intergalactic order, each Green Lantern wears a ring that grants him superpowers. But when a new enemy called Parallax threatens to destroy the balance of power in the Universe, their fate and the fate of Earth lie in the hands of their newest recruit, the first human ever selected: Hal Jordan.
Hal is a gifted and cocky test pilot, but the Green Lanterns have little respect for humans, who have never harnessed the infinite powers of the ring before. But Hal is clearly the missing piece to the puzzle, and along with his determination and willpower, he has one thing no member of the Corps has ever had: humanity. With the encouragement of fellow pilot and childhood sweetheart Carol Ferris (Blake Lively), if Hal can quickly master his new powers and find the courage to overcome his fears, he may prove to be not only the key to defeating Parallax…he will become the greatest Green Lantern of all.