@odd I must say, back when I still had an iPhone, I did like Apple News app for a quick overveiw of the news.
In general though I dislike news apps like Google News that "learn" what it thinks I like and feeds me more of it. I also dislike those that track me and report to the mothership so they can feed me more ads.
With that said, I have been using the Web versions of MSN News, BBC News and Yahoo News. No privacy with any of them but MSN and Y! are useful for getting around the paywall of the bigger newspapers.
I'm using a RSS reader for keeping up with blogs and niche news sources.