Here's the deal, no anime, has to be exciting meaning drama can be present, but only moderately. Also it's preferable for it to have at least 1 complete season, but not necessary.
And don't worry if I have watched them I'll tell you.
also if you're into british tv shows check out Father Ted for good comedy
now this one's a bit old but for me its been an outstanding TV series.
an epic space saga(if u haven't seen it already). there's drama...there's action...and maybe a bit prophetic.
Sons Of Anarchy
Game Of Thrones
Band Of Brothers
The Big Bang Theory
Outrageous Fortune (may not be available there)
This. Right here. The God of all Sci-Fi shows. It has one of the best stories written in any show, let alone just Sci-Fi. Though if you're not into Sci-Fi then it won't mean much.
Otherwise, I'd recommend NCIS and JAG (same "Universe", JAG came first).
If you're into CSI-type shows, The Murdoch Mysteries is actually pretty good. It's set in the Victorian era, but it introduces technology and techniques you wouldn't have actually seen there. It's kind of difficult to explain, but it's pretty good.
[Edited by Skyheart, 5/4/2012 5:21:04 AM]