A free app for Android, by City Beetles.

BLN9 is an online newsreader for people who want to stay up to date with what’s going on in their city, state, and country. You can choose to add your favorite feeds to the app, and it will notify you when new content is published. You can also browse news by topic or location, and you can easily search for your favorite topics or locations.

In addition, you can choose to enter any website address and it will try and find if it has a public RSS feed that you can add. If it does, it will add the RSS feed to the list of sources that you can choose to read.