You can forget New Zealand, Australia, Norway, Swiss, Netherlands and the rest of europe except maybe Lichtenstein but they probably got a dentist in one of there 3 villages. I used to live a while in NZ and australia and living currently in Germany. It cant be worse than here in the US.
Nearly every european country is facing the same Problems, in Germany we got high unemployment, the government says 3 million the truth is about that we got nearly 10 million, which are all recieving some kind of government unemployment money. Most of the people who are working have to do it for really low wages about 800 Euro a month, that might sound heaps but the lifestyle is really expensive.
In the Main cities like Berlin you got no go areas where all the "refugees" living, even the police isnt going in those areas. In France it is even worse you got major riots every couple month, where they burn your car, smash your house and shop. The government isnt working for the people anymore, but the people are the enemy of the government. Nobody agrees with the governments, but strangely they same parties are always getting back in the senate.
In NZ and Australia you are facing a major crime problem, especially NZ, about every third of the 4million citizens has been to prison or involved in a crime. Jobs are available, but only short term. If you are a doctor you probably have to go back to school anyway, to do your doctor again, has something to do with standards and policies.
Besides that you still got a few nice places, which are mostly in remote areas, which are only nice, when you are a tourist.
If you decide to come to Europe because of the healtcare, well you shouldnt. Health is quite expensive here, you have to pay about 200 Euro every month for the state insurance. If you work you cant refuse to pay it will be tranferred automatically from your wages. Besides it is a law to have health insurance. If you are your own boss the healthcare fee is about the double.
Most of the hospitals are from the 60s, they dont only look like that, the care is pretty much the same. If you want better care, you need extra insurance which isnt cheap.
I forgot, there are Doctors every where, i live in a small town with about 20 regular shops and nearly 20 doctors for only 8000 people.