News readers, or aggregators as they are sometimes called, are programs that harvest and manage news items from various news feeds. When you find feeds of interest, you can use a news reader to "subscribe" to that feed, allowing you to be notified of new headlines almost as soon as they are published.
There are a variety of different kinds of news readers available, from websites that you can access from anywhere, to client-side applications that can be configured to notify you of news while you aren't even navigating the Web. The following is just a partial listing of some of the more popular readers...