Reproduced on Windows XP, Service Pack 2. The issue happend after updating Skype from version 126.96.36.199 to 6.10.
Solution: no need to install Service Pack 3, just uninstall version 6.10, install 188.8.131.52 and disable automatic update.
Tools -> Options -> Advanced -> Automatic updates ->Turn off automatic updates
Probably installing Service Pack 3 also can fix the problem, not tested, but described solution will fix the issue 100%.
Original information was found here: http://community.skype.com/t5/Windows-desktop-client/Skype-Fatal-Error-KERNEL32-dll/td-p/1916819/page/2