Azimuth - 12:40 am on Aug 26, 2010 (gmt 0)
I'll add a few to the list:
Azores Islands in Portugal. The weather is great, the topography is interesting, they sit on top of some of the major underseas communication cables. They are also politically stable and nuclear-free.
Another area to consider is the Crimea and Odessa in the Ukraine. I'm not sure about how well-connected the Crimea is but Odessa has good internet connectivity. Within the Crimea itself there are a few small cities that are nice places - Yalta, Sebastopol, Kerch. The beaches and weather are great, but the Ukraine is obviously not nuclear-free.
Another area would be the Black Sea coasts of Bulgaria and Romania. There are a few possible cities here - Burgas, Constanta, Varna. Like the rest of Ukraine, it can be a bit industrial and sad depending on where you go, but the beaches and weather are amazing and lots of folks speak English.
If you're really keen to learn a foreign language then Macedonia, Croatia, Sardinia and Southern Italy/Sicily are all possibilities but their infrastructure is less developed and you would have to be careful about internet connectivity.
In the Pacific, Okinawa would definitely meet your criteria. Its a stunningly beautiful place, with all of the creature comforts found in mainland Japan. Its not as cheap as the other options I've mentioned so far, but not like Tokyo either.
In South America there are lots of good choices. My favourite country there is Ecuador - Amazing volcanoes, a couple great little cities and a beautiful coast. There are also a bunch of smaller coastal cities in Peru that are beautiful places. The biggest problems with South America are internet connectivity and earthquakes, but learning Spanish is pretty easy and the cost of living is low.
Another option that may sound strange is the Himalayas. There are some amazing little places such as Darjeeling that would be a blast to live in. They usually have good internet connections and English is widely spoken. The climate may scare you, but its amazing in summer and you could always use winter to visit family, etc. The Himalayas are very different from the rest of India, but they aren't nuclear-free either, and they don't meet you health-care criteria.