I am looking for a company that designs,  and/or has a selction of
custom or specialty "enterior" sun visors. NOT the "sun shade" that
you can stick in your window,  but the actual visor that hangs in
front of you in your winshield. I cant seem to figure out the correct
words or phrases to type into my browser to get this type of product
or company listing.

Hi windy,

You're right - they're hard to find!  I'm sure you already know that,
if you merely want to replace a damaged sun visor, you can contact
your local dealer and order one.  They're not cheap, but they are
available.

However, it sounds as if you're after something a little more than
just a replacement.  Soo, after trying a number of different search
combinations, I was finally able to locate one company that
specializes in custom crafting auto sunvisors.  They do appear to be
about the best game in town, at least for online businesses, as many,
if not most of the other automotive parts/interiors companies and
directories refer to them.  They guarantee to restore and/or fabricate
any visor to fit any vehicle, and can be found here: 
http://www.autosunvisors.com/

However, in adddition, I found two other companies you might want to
check out:
This one sells sunvisors for a number of different year, make, models
of vehicles: http://www.topsonline.com/default.html?target=Headliner_Shell_zg_Sun_VisorsSun_Visors.html
And this company sells do-it-yourself kits for fabricating your own
headliners and sunvisors:
http://www.yearone.com/serverfiles/headline.asp?hid=G11AB19


And then, here's contact information on a company that is not online,
but will restore/replace sunvisors sent to their factory:
"Acme Auto Headlining Co. now offers a two-pronged program to help
solve interior sunvisor repair or replacement problems. Acme will
restore sunvisors shipped to their plant. The interior sunvisor
restoration service offers original quality restoration in the
customers choice of colors for all types of sunvisors. In addition to
their restoration service, Acme manufacturers new replacement
sunvisors for special interest cars in a wide variety of
original-style fabrics and colors. Contact: Acme Auto Headlining Co.,
550 West 16th St., Long Beach, CA 90813; 800/288-6078  per Ken Ufheil"
http://users.stargate.net/~dsollon/supply.htm

Should all else fail, here are two sites with instructions on how to
make sunvisors yourself:
http://www.upholster.com/auto/auto-trim.htm
http://www.headlinerkit.com/visor/index.shtml

And you can order fabric from several different places, including: 
http://www.upholsterysupply.com/

For search strategy, I started out probably much as you did, using
terms like auto visor, sunvisor, custom visors, etc.  Then as I saw
the kind of results that came in, I progressively narrowed it down to
the strategy(ies)  that gave the results closest to what we were
looking for, which were:

interior auto visor  custom OR replacement
interior auto trim 
auto sunvisor -lund
headliner and sunvisor

Then I did also do some further searching within the results to try to
narrow it down a bit further, using

repair OR replacment
fabrication

Even so, much of the search entailed clicking on likely looking links
and following them to see if they really did offer what it seemed they
did.  Some did, some didn't.  It was a process of elimination.

One additional note: there were some sites that were targeted to
specific years, makes and models of automobiles, so if none of these
links work out, you might try doing a search as outlined above, and
then following those more specific links.

Hope this helps you find what you're looking for.  Please allow me to
clarify if something is missing or not what you were looking for.

Best wishes,
Byrd

Please thank my researcher!  This was exactly what I needed.