In no particular order...
Patrick Dempsey (Grey's Anatomy) - Without any stubble, Dr. Derek Shepherd is simply a mild-mannered doctor with great hair. Add the grizzle and he's every woman's fantasy: a hottie doctor that she can pretend is also a bad boy. (Dr. Shepherd might actually be a bad boy; I don't know since I've never seen the show, but if I did watch it, it'd be because of the stubble -- and Katherine Heigl).
Brett Favre - (NFL - Retired) When Brett Favre retired the NFL lost not only an iconic iron man but also the grizzliest face in the league. I dare you to find a picture of Brett Favruh without any stubble -- that photo does not exist. This man embodies all the qualities that facial stubble stands for with his toughness, recklessness, and never-say-die-ness.
Matthew Fox (Lost) - After watching Dr. Jack Shephard tramp about a mysterious island for the last few years wearing a luxuriant face rug, you might be tempted to chalk the perfect growth up to another strange island power. And then you'd look at Hurley. Jack's natural charisma is greatly enhanced by his scruff that lets his frightened followers know that, despite his Ivy League education and occasional aloofness, he's just as stinky as them.
Harrison Ford (Indiana Jones) - I've already expounded Indiana's Greatness here at The Spoon, but it bears repeating that Indy is the pinnacle, nay, the apotheosis, of every-man-ness. He's smart, funny, resourceful, compassionate and he knows how to handle a whip. His man-scruff simply drives home how comfortable he is in his own well-worn shoes. Truly, he is a role model for our times.
Dylan McDermott (Big Shots) - The McDermott take on face stubble manages to combine arrogance and disdain with a playful boyishness. I'm not really certain how he does it, but his character Duncan Collingsworth (the name even sounds pretentious) really should be an unforgivable a-hole but isn't. I think the love-able scruff is a big part of the reason why.
Hugh Laurie (House) - By far the ugliest growth on this list belongs to the character who is possibly the most brilliant. Dr. House understands that the best way to prevent your genius medical abilities from putting off people (remember, he's a teddy bear deep down inside) is to grow a "pubical" concoction on your face. It doesn't look good, which almost made me pull House from this list, but the faux-surly doc would fail to garner much sympathy without the scruff.
That's my personal list for the greatest stubble in TV and film but I'm sure I left out a bunch. Feel free to let me know who your nominations are by commenting below.
Also, check out the Large Association of Movie Blogs (LAMB) for a wide variety of, you guessed it, movie blogs about other fun movie topics and possibly even more facial stubble discussions (though I doubt it).