Any updates on this issue? I have the same problem and trying to login using https://clientlogin.cdn.skype.com/cdn/6.0.1/release/index.html link results in an empty page in Chrome, IE.
Please, run the System Information tool (msinfo32)
Go to Windows Start and in the Run box type msinfo32.exe and press the OK button. This will open the System Information window. In this window click on File and select Export. Save the msinfo.txt file to your hard drive and attach this file to your post here.
Here's the msinfo.txt file...
Please, post entire output from msinfo32 diagnostics. What you have posted is only a small fragment.