USDA Information for International Travel (with listing of countries):
http://www.aphis.usda.gov/regulations/vs/iregs/animals/

Rabies Free Areas:

Antigua
http://www.antigua-barbuda.org/Import%20Requirements%20for%20importing%20pets.pdf

Australia
http://www.daffa.gov.au/aqis/cat-dogs

British Virgin Islands
http://www.britishvirginislands.com/ntk_permitspet.htm

Cayman Islands
http://www.caymanislandscustoms.com/agriculture-dog-cats.html

European Union
http://ec.europa.eu/food/animal/liveanimals/pets/nocomm_third_en.htm

Guam
http://agriculture.guam.gov/programs/animal_health.htm

Hawaii
http://hawaii.gov/hdoa/ai/aqs/info

Iceland
http://www.lbs.is/Uploads/document/eydubl_ensk/checklist_importation_dogs_cats.pdf

Japan
http://www.maff.go.jp/aqs/english/animal/dog/index.html

Malta
http://www.veterinary.gov.mt/page.asp?n=documentation&l=1

New Zealand
http://www.biosecurity.govt.nz/personal-travel-belongings-and-mail/bringing-things-into-nz/your-pets

Norway
http://www.regjeringen.no/en/dep/ud/Documents/veiledninger/2006/Diplomat-in-Norway/25.html?id=419553

Singapore
http://www.ava.gov.sg/InformationForTravellers/BringPet/index.htm

St. Vincent & Grenadines
http://www.svg-nipi.com/forms/conditions%20for%20imortation%20of%20dogs.pdf

St. Kitts & Nevis
http://www.stkittstourism.kn/Docs/REVISED%20IMPORT%20PROTOCOL%20FOR%20IMPORTING%20PETS(DOGS%20AND%20CATS%202005).pdf

Sweden
http://www.sjv.se/home/amnesomraden/animalhealthwelfare/importexportofliveanimals/dogsandcats/
worlddogshowinstockholm36july2008/thisiswhatyourdogsneedstoentrysweden.4.1c72e95711857a224538000441.html

Taiwan
http://www.pettravel.com/passports_immigration.cfm

Trinidad & Tobago
http://www.pettravel.com/passports_immigration.cfm

United Kingdom
http://www.defra.gov.uk/animalh/quarantine/index.htm