First - looking at the icon of the Calendar application in iOS [which shows the current date in the icon itself], it's possible that the designers of Live Tiles [images below] at Microsoft were inspired by the live icon of the Calendar app in iOS. Perhaps they thought of making every icon live, and then they realized that they could just do away with the icons and make sort of "boxes" or zones that are live.
Current date seen in icon of Calendar app on iOS
Live Tiles in Windows Phone
Second - looking at the photo of Android 4.0 running on Samsung Galaxy Tab 2, it seems that Google is trying to combine the traditional method of using icons, with the Windows Phone method of using Live Tiles. Both icons and Live Tiles can be seen.
Android 4.0 on Samsung Galaxy Tab 2