One other note: Most RSS feed apps make it easy to add the Google News "Top Stories" section, but it's also easy to add custom sub-sections of Google News as RSS feeds to whatever app you end up using. Just do a search on Google News for the topic that you want a custom section for. Then, at the bottom of that page you'll see an orange icon labeled "RSS". Click that icon to get the URL for that custom news feed, and paste that into the appropriate spot of the app you're using.
That way you can have a custom set of Google News-powered feeds on several different topics of interest, rather than just the "Top Stories" section.