@spaceduck: hey Spaceduck, welcome to Comicvine then ;D. So as far as Green Lantern goes you should probably start around Green Lantern: Rebirth written by Geoff Johns and work your way to the newer stories like Sinestro Corp War, War of Light, Blackest Night, War of Green Lanterns and the New 52 stories.
As for the current New 52 titles, I like all of them and found them all enjoyable. My favorite Green Lantern new 52 title is Green Lantern: New Guardians because it feature Kyle Rayner (probably my favorite character) being a all powerful lantern that is exploing the universe.
So thats my recomendation. If you want to know more please do tell.