A big swing at giving Hal Jordan, square-jawed jet-jockey of the Silver Age, the same level of depth and emotional complexity that DC was lavishing on its characters in the mid-to-late '80s... and I think it's a mostly successful one, even if it loses some of its character focus when writer Jim Owlsey (a.k.a. Christopher Priest) jumps ship after the first issue, leaving the bulk of the storytelling to Keith Giffen and Gerard Jones (the less said about HIM, the better).
Jordan, in this telling, starts out as a deeply flawed man. The book opens with a young Hal witnessing the death of his father in a jet crash, and the baggage of that trauma leads him to grow into a shiftless washout-- resentful, angry, completely unwilling to confront the fears that are holding him back... leading to self-destructive behavior that ruins the lives of the people around him. So when THIS guy gets chosen by a dying alien to become a Green Lantern-- an heroic champion of order and justice throughout the galaxy-- it forces Hal to confront the consequences of his own actions, because those consequences become much, MUCH grander in scope.
While the two miniseries collected here would expand into cosmic adventure stories as they went along, there's a decent throughline of personal responsibility that keeps them somewhat grounded. It never quite coheres into something GREAT (though the second mini, Emerald Dawn II, is more cohesive in mirroring Sinestro's fall from grace with Hal's struggle to find the acceptible limits of his new power), but this is still solid reading, and makes Hal into a more complex character than he'd ever been depicted as before (or since, for that matter).