I use USA Today, Reuters News, and Newspaper app.
The Newspaper app list groups of online newspaper sites from the UK, US, Canada and France. It allows me to create my favorites of newspaper sites.
USA Today and Reuters are proprietary and dedicated to the mobile versions of their online sites.
I use some dedicated news sites like Ohio.com (hey, It's my home state! What can I say?) and Phandroid News (for obvious reasons.).