I'm on a fresh Windows install right now, and I installed the latest version of Skype. Clicking the "Microsoft Account" link gives me either a "Sometimes the internet gets a bit sleepy" error, or a blank page saying "There are errors on this page". Even the Facebook login shows errors, with only the bare-bones HTML and no CSS being loaded.
Once I managed to get through the login, but afterwards I kept getting "an error has occured" until I restarted the application, after which the cycle restarted from square one.
Start >> RUN >> type ncpa.cpl >> ok
Right click the appropriate connection and click Diagnose and Repair.
Start >> RUN >> type netsh winsock reset >> ok
Start >> RUN >> type netsh int ip reset reset.log >> ok
Start >> RUN >> type netsh winsock reset catalog >> ok
Restart your comuter.
Now try running skype.