Open the "Control Panels" folder from the "Settings" slot on the Start Menu.
Double-click on the "Add/Remove Programs" icon.
Scroll down the list until you find the "WinZip" entry, then click on the "Add/Remove..." button and click yes to confirm. The program will now be uninstalled.
OR,
From the Start menu open the \Programs\WinZip path and select the "Uninstall WinZip" entry.
Click the Yes button to confirm and the program will be removed.