In Windows 8, they REALLY don't want you to have a "Computer" icon on the taskbar. If you search for it, the only option they give you is to pin it to the start bar. If you tell it to "Show on the desktop", then right click it you only get the option to "Pin to start".
If you are like me and really miss an actual "Computer" button within reach of a single mouse click, here is how you create one.
1) Right click on the desktop and select new / shortcut
2) In the "Type the location of the item" box, enter the following
3) Press next.
4) For a name call it "Computer" (or what ever you want)
5) Click finish.
You should now have a homemade shortcut to computer on your desktop. This shortcut actually gives you the option when you right click it to "Pin to the taskbar".
I would recommend you go into the properties of the shortcut and change the icon to something else to your liking before you pin it. Once you get it pinned to the taskbar you can then delete the shortcut from the desktop.
I's like to note that the default icon is the same as the explorer icon so I forced myself to use a win95 era icon that was lying around my system for whatever reason.just so I knew it was my computer