I like the MSN news app for reading the news, but it does not send push notifications for breaking news. What news apps out there will push notifications for breaking news?
The AP news app used to do it, but I haven't used it in quite a while. Before I walked away from my addiction to Twitter, I used the official Twitter app for breaking news.
I really like the CNN app - they are great about sending out breaking new notifications.
Another news app I really like is SmartNews. They will send you a "trending" new story in the morning, afternoon and evening. It's great for staying up on top stories.