We are going round the world and taking our dog.  Is there a site that
lists immigration requirements to have a dog enter each country in the
world for a few weeks.  Main Focus: Australia, New Zealand, South
America, Ghana, South Africa, Kenya, Tanzania, China, Philippines,
Turkey, Italy, Greece, Japan, India, Israel, Egypt

Dear Gotoblack, 

Yes, there is such a site, called "Pet Travel" : 
Pet Travel
<http://www.pettravel.com/> 

You can search for each country here: 
Pet Travel - Pet Immigration & Quarantine Information 
<http://www.pettravel.com/passportnew.cfm> 

However, I recommend that you'd contact the custom authorities in the
countries you're about to visit, to know for sure (they have the
details on the site). In addition, it might be different if you have
to fly with your buddy, or if you take a yacht and sail around the
world - you might be able to stay with the dog on board, while porting
somewhere, even if they do have quarentine policies.

Here are several more sites that might help, though Pet Travel is
exactly what you're looking for:

ExpatExchange - Pets Abroad
<http://www.expatexchange.com/libg.cfm?articleid=1631> 

Galaxy Pet
<http://galaxypet.cyanne.com/intro.html> 

Pet Planet - Taking your dog abroad
<http://www.petplanet.co.uk/petplanet/travel/takingyourdogabroad.htm> 

 Siri Lise Doub, "Taking Your Pet Abroad",
<http://www.transitionsabroad.com/publications/magazine/9907/taking_your_pet_abroad.shtml>

Tips for taking your pet abroad
<http://www.saga.co.uk/finance/pet/leaflet_pets_abroad.htm> 

I hope this answers your question. Please contact me if you need any
clarification on this answer before you rate it. My search terms:
pet abroad
pet immigration

Politicalguru has provided excellent information for you to use. I'm
just going to add my two cents.

South America isn't a country.

Almost every country you have listed requires a recent (within a few
days) health examination and certification of health. You are gonna be
spending a bit of time and money at the local veterinarian preparing
for the next destination.

Some of the countries listed have differing requirements depending on
where you are arriving from. Japan, for instance, has a streamlined
import protocol from New Zealand but requires quarantine up to 180
days from, say, Ghana. Either way, you must submit import requests at
least 40 days in advance.

You should get your dog microchipped NOW.

You are contemplating a very complicated procedure just to bring your
dog with you (yes, yes, I know [s]he's a part of the family; when your
dog pays its own way, it can truly be a part of the family... and when
it can pay for everyone's trip, you know you've hit the Big Time). If
you fail to adhere to required laws, you may find yourself without
your dog, paying for six months of quarantine, and then having to
transport your pet back to the US unaccompanied. That can cost as much
as a first class ticket from some places!

Leave Poochie in a kennel.  In some of the places you listed, Fido
would be the main course.

I just got off the phone with an old friend who has done two world
cruises on his sailboat. He reports that Australia and New Zealand are
completely out and that some (mostly island) countries have an easy
solution to prevent rabies from being imported-- they shoot any
incoming dogs and cats.

Australia is tough on animal imports.  We're one of the few countries
free of rabies.  The time spent at sea (between ports) can count as
quarantine.

But, you are barking up the wrong researchers, by asking this question
in this place.  Google researchers are an amazing crew, but the only,
only,  sure way to get your answer to this question is to write to the
quarantine people in each country.  Being seen to be trying to do the
right thing by writing will help you.