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While the previous process is still working on the Windows 8 desktop with the new Start Screen, you can just find the app you want to delete, right-click (or swipe down on the application), and choose to uninstall the program. It's that simple.
For non-Windows Store program, you will still need to use the old method. Check out the quick video above, which walks you through the steps for uninstalling an app in Windows 8.