New Green Lantern Fan

I saw screenshots and videos of the new Green Lantern movie in some of the Comic Con news. I haven't read any of the main comics, but know both Green Lanterns (Hal Jordan and John Stewart) from the free Green Lantern Origin comic and the Justice League animated series. What are some essential stories I can read, so I can get caught up on the history of this awesome space police super hero.
P.S. I luv Sci Fi like Starcraft, Star Wars, and Star Trek.