A missing logonui.exe is the only thing I know about (at the moment) to recreate that error but there are probably other things so maybe somebody else will have some ideas - I think something is missing somewhere.
If winlogon.exe is missing you see see this even uglier error message:
STOP: c000021a {Fatal System Error}
The Windows Logon Process terminated unexpectedly with a status of 0xc0000001 (0xc000034 0x000105c0).
The system has been shut down.
When those files are missing, they just don't go missing by themselves.
Describe your antivirus/antimalware environment.
If the system used to work properly what do you think happened to it since the last time it did work properly?
Well, we might at least know what it's NOT so maybe we can put on our thinking caps and figure out what it IS.