http://developer.gnome.org/projects/gup/hig/1.0/menus.html#standard-menus

"If your application does not operate on documents, name this item for the type
of object it displays. For example, many games should have a Game instead of a
File menu."  

In the case of simple Games*, accessories like Caclulators, and certain firewall
products there is no obvious File involved and this recommendation makes sense.  

In the case of a Media Player it is document based and the movie file is the
document but unfortunately the wording of the HIG has led some to beleive that 
they should break consistancey and rename their File menu to Movie.  
This is not just breaking consistancey with GNOME but also with Mac OS, Windows
and KDE.  
I went into a more detail about the Media player case in this request, which I
plan on reopening soon.  
http://bugzilla.gnome.org/show_bug.cgi?id=160274

Another document based application which has abandoned the File menu is File
Roller (it seems particularly odd that File Roller doesn't have a File menu) and
aside from consistancey I do believe there would be a signficant usability
benefit to reorgansing the menus in File Roller and seperating out the Archive
actions from the File actions.  
http://bugzilla.gnome.org/show_bug.cgi?id=164505

So I'm hoping the HIG can clarify what was meant here.  It seems clear to me
that it meant document based applications, and that it was not the intention
that applications would replace the File menu with a menu specific to the type
of file they work with  (if it was then we'd need to have Text, Spreadsheet,
Drawing, etc).  Please help me, these glaring inconsistancey in these few
applications are like an itch I cannot scratch.  Please help clarify the
intentions of the HIG on this.