A wide variety of apps is available to install on your phone that deliver news in real time. One example is an app called AP Mobile offered by the Associated Press that delivers breaking news on both local and national levels.
This app is fully customizable and is free to all users of Android, iOS and Windows phones. Circa News is another news app that puts an emphasis on delivering the news as concise facts. This app is available for free on Android and iOS phones. Yahoo News Digest is also available for free on iOS and Android phones and sends two digests of the top stories of the day directly to your phone.
There are also multiple options for those who prefer to use social media to stay up-to-date on the latest events, but most are available solely on iOS. Tweetbot is an app that allows for greater customization of your twitter feed and is available on iOS for $4.99, as of July 2015.
Paper by Facebook, available for free on iOS, reorganizes your Facebook feed in a manner that emphasizes more in-depth content. Alien Blue serves as a wrapper for the popular website Reddit, reformatting an unwieldy layout to make it more palatable for the mobile user. This app is available for free on iOS phones.