Agree with House. And Frasier... and Peep Show! Definitely give Peep Show a viewing. And give Star Trek: The Next Generation a chance, cause if you can get into that then you have Deep Space Nine and Voyager to watch as well - and that's a LOT of TV right here
Unfortunately you've just missed BBC2's run of seasons 1-5 of The Wire but it's well worth paying ~£15 for each season's boxset.
The Wire is incredibly well written and although it focuses on black drug dealers/gang members the characters never really feel like cliches or stereotypes, unlike almost every other cop show/movie I've seen.