ITIL is far from comprehensive
ITIL certainly does not cover all aspects of "IT Infrastructure" as the name suggests. It does not even cover all aspects of an IT Service Management Library, which would be a more accurate name for its scope. For a framework that pays much lip service to the Deming Plan-Do-Check-Act cycle, it is light on with any part of that cycle except "Do".
Here is something to ponder for those of you who think ITIL is a fairly comprehensive coverage of the processes to run IT operations:
(from the IT Governance Institute's excellent CobiT Mapping).
So the next time an ITIL zealot uses that "If we do ITIL we've got it covered" line, hit them with this chart.