Compact, customizable, and comprehensive: Google News & Weather is a handy personalized news service.
The app delivers news in a range of categories, which you can peruse by swiping. You can easily manage the sections you'd like to appear, and add your own 'topics' to zero in on what's important to you. There are more than 60 country-specific editions of Google News to choose from.
The weather section needs work, but the app is still a digestible way to find out what's happening.