There are a lot of weather apps in Google Play Store, all of them work the same way. Most of them have widgets to show up the weather details right on your homescreen so that you don't have to actually open the app again and again.
We are seeing lot of minimalistic apps coming out in the Apple's App Store, like Yahoo months back released Weather App for iPhone. Yahoo weather app looks very beautiful and the backgrounds taken from the Flickr is nice idea. There are very fewer apps that present content with minimal approach of design.
Eye in Sky Weather is very beautiful, minimal weather app for android phones. This free app includes beautiful weather widgets too. You can use those widgets on your homescreen and you can customise the widgets too, by changing the color, icons etc.
The app includes 14 custom icons set and lot of other customisable options which you will not find any other weather app on Play Store. With weather notification enabled, you can see all the weather details right into the notification bar of your phone, and it displays wind speed and some more details too.