Hmmm... here is what I can think of that I currently enjoy (aside from my love of Doctor Who and The X-Files and Torchwood, but those all might fall under "gory"). I'm not sure what of these is on Netflix though.
-Glee
-Friends
-Modern Family
What are your thoughts on Anime series? I could suggest some of those too if you are interested.
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"Have you never seen something so mad, so extraordinary... That just for one second, you think that there might be more out there?" -Gwen Cooper, Torchwood