I would like to work and live in another country. Is this possible? Like Canada, Australia, Germany, France or something like that?
There was a time when I was really interested in this too. My research concluded that most countries will not accept a US dental school degree and you would have to go back to dental school in the particular country where you wanted to practice. It appears that this is mainly because we (the US) won't allow them to come practice in our country. If we allowed them to practice in the US, they would allow us to practice there. This, of course, is known as reciprocity.
Many countries have reciprocity agreements. For example, if you have a Peruvian dental license, there is reciprocity in Argentina, Bulgaria, Bolivia, Colombia, Costa Rica, Cuba, Chile, China, Ecuador, El Salvador, Spain, Guatemala, Honduras, Hungry, México, Nicaragua, Panamá, Paraguay, Romania, Uruguay, Venezuela, The Vatican, Ukraine, and Russia. Their website, below in Spanish, indicates this agreement.
http://www.anr.edu.pe/index.php?option=com_content&view=article&id=263&Itemid=359
That being said, I was thrilled when I found out that New Zealand accepts US dental school credentials and will even accept your US board exam. This is despite the lack of a reciprocity agreement between the US and New Zealand. See their website below.
http://www.dentalcouncil.org.nz/dcRegistrationDentistPrescribedQuals
Furthermore, you can use the Trans-Tasman agreement to get a license in Australia circumventing any need to do Australia's licensing exam. Amazing right?! I was blown away when I found this out.
http://www.dentalboard.gov.au/Registration/Overseas-Practitioner-Registration/Dentists.aspx
I have heard there is reciprocity between Australia and South Africa too and may be more but my research ended with New Zealand and Australia. But, as you can see, with enough research you may be able to get to your country of choice starting with New Zealand.
A great way to do this is to go to the dental license credentialing body of the country you are interested in. Then do a search for licensed dentists in that country. Then look for any who graduated from dental schools in the US. Then contact that dentist to find out how they got to practice in that country. That's how I found out about New Zealand and he also informed me about Australia.