You should add CNN International to that list. CNNI is a completely different beast from CNN U.S.
I find it frustrating when Time Warner (parent company of CNN and CNNI) deliberately blocks CNNI from the U.S. and Canada. It's only available through premium cable subscriptions.
Oh, I just check CNN International online. I don't even bother watching it on TV. It's the same for BBC World News since I don't get BBC on basic cable.