Other good stories are Secret Identity, For Tomorrow, the important Batman/Superman arcs (Public Enemies, The Search For Kryptonite, Vengeance), Camelot Falls, and such.
But if you want to get into current Supes, I suggest starting with Secret Origin. Started last year and retcons a lot of crap from the early 2000s, and makes it more streamlined for newbs. It's basically about kid Clark turning into grown-up Clark and discovering his inevitable identity along the way.
The New Krypton arc follows this, followed by World of New Krypton, which is concluded with the latest - War of the Supermen. It wouldn't hurt to read Blackest Night either, since Superman plays a part in that, and has the awesome Superman: Blackest Night tie-ins.