Every day in the corporate environment, we speak about our managers. 
There are certain terms such as Unit Manager and Department Manager. 
But, to reference a manager 3 levels up, I keep hearing "Manager's
Manager's Manager" being used.  Are there any official names for these
positions, I was thinking Manager cubed, or 3rd level manager, but
these are getting a bit more ridiculous.  Something besides Manager of
Automation or Director of Engineering, would like the relationship to
the hierarchy.  Any parody sites would also be ok.

Hello gambo,
 Unfortunately, I found only a little information about this question.
The best source I found was http://www.helensface.com/people.shtml .
There thay state that there are several hierarchy found in business.
And as one commenter said several British companies have adopted a
'family' hierarchy system. I found many sites, however, that mention
"manager's manager", and that seems to indicate to me that it is the
proper term to use. I found this term on the website for the
University of Mephis Business school at
http://bf.memphis.edu/planning/one.php and I quote the site "The
manager's manager is equally positive about the work unit council
approach."
As for a parody I found a few:
http://www.ewin.com/article/uporg.htm about the corporate ladder  and
http://www.pintday.org/funny/corporatehierarchy.shtml which is a
mockery of the hierarchy.

Hope this answers your question!
Crys-ga

Thanks for checking, much appreciated.  I hadn't heard of the family
usage, it must be a British thing.  The helensface and ewin links
don't seem to work, that's the only reason for 4 stars.  Thanks also
to j_philipp, will have to keep in mind if I ever need to write job
descriptions ;)

Didn't Scott Adams say, "If it's more than two words, it's not a career"?

I worked for a British company that used the following references. 
The manager one level up was considered your "father" and you were his
"son".  Two levels up was "grandfather" and "grandson", etc. etc. etc.

Don't know if this was a British thing or not but it seeemd to make
sense.

I personally like manager, grandmanager, great grandmanager, etc.