I'm not a TV fan, but I watch Emergency Room: Life + Death at VGH. Partly it's because Vancouver General Hospital is the biggest in my town. But mostly it's because it's absolutely brilliant. Never mind House or St. Elmo's Fire or whatever hospital melodrama you may like; these are real healthcare workers, and I'd be happy to put my life in their hands.
You can click through the link to watch the first episodes, and tonight's should be online in a few hours after it's broadcast.