Watch this list from wikipedia:
As of the twelfth season, the Amazing Race has visited 66 countries.
Continent Countries
North America Canada, Costa Rica, Jamaica, Mexico, Panama, United States (including Alaska, Guam, Hawaii and Puerto Rico)
South America Argentina, Peru, Brazil, Chile, Ecuador, Uruguay
Europe Austria, Croatia, Finland, France (including Corsica), Germany, Greece, Hungary, Iceland, Ireland, Italy (including Sicily), Lithuania, Netherlands, Norway, Poland, Portugal, Russia, Spain, Sweden, Switzerland, Turkey, Ukraine, United Kingdom (including England and Scotland)
Africa Botswana, Burkina Faso, Egypt, Ethiopia, Kenya, Madagascar, Mauritius, Morocco, Mozambique, Namibia, Senegal, South Africa, Tanzania (including Zanzibar), Tunisia, Zambia
Asia People's Republic of China (including Hong Kong and Macau), India, Japan, Kuwait, Malaysia (including Sabah), Mongolia, Oman, Philippines, Singapore, South Korea, Sri Lanka, Taiwan (Republic of China), Thailand, United Arab Emirates, Vietnam
Oceania Australia, New Zealand
The Amazing Race 13
Europe: Czech Republic ( 100 %) and Spain they have talked off those cities: Madrid and Valencia.