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Get wild, but with a soft start.
I'd recommend Malaysia as it has a wide range of cultures to explore, lots to do, but a lot of people speak English so it's far easier to get around than many other countries.
It's politically stable and safe in general.

You can get wild after a while exploring that country, maybe Vietnam or Indonesia would be interesting second destinations.

PS - Don't dream - DO

Fred's suggestion of having a soft start was excellent, but "a great places for expats to travel or live" varies depending on the person who does the living and travelling.

I started out on our expat life in Italy, in a town of 3500 where not one local spoke English and the very few expats who lived within 30 minutes from town were a German, a British, and a New Zealander.  That's it at the time.  I was alone (husband couldn't move over until he retired 3.5 years later), renovating an 800+ year old house (Italian workmen) and dealing with bureaucracy for everything.  Necessity forced me to speak the language an immersing into the culture quickly.

I would have problem in any country where the written language doesn't have alphabets.  That's my only requirement aside from safety.

Go where you want. Europe has a lot to offer and the "immigration problem" is nothing but right-wing media propaganda. 99% of the people are totally unaffected by any of it. How would a tourist be affected by a boat of refugees in the Mediterranean, or the fact that there are homes for refugees? It's like someone saying America is too dangerous to visit because there are still bears and wolves in Alaska. There is actually much less violent crime and certainly less shooting in Western Europe than in America. That said; can one find problems if they go looking for them? Yes. There are poor neighborhoods in large cities where one would probably not want to wander around after dark without reason – just like in America.

If one is open to anywhere then there are lots of options. The biggest problem with Europe is that it is not cheap. Most Asian countries are a bit safer and generally easier to travel in with English than say Latin American countries where it really helps to know some of the local language. Where ever you choose, do some research on the culture and places of interest before going.

Another thing I forgot to mention is that traveling and settling down in a place is a VERY different thing. Lots of places I loved to visit but would not want to settle down in - and vice versa. One is often treated nicely as a tourist because the locals are benefiting from your patronage of their hotels, restaurants etc. Yet settling down as a foreigner one is targeted by locals who seem to think that you must be rich and can be ripped off. I’ve seen this in many beautiful places especially in Latin America. People visit and fall in love with a place but once living there are affected by a lot of hidden problems and resentment. Even foreigners who marry a local and start a business and employee people and boost the local economy are targeted out of jealousy.

Then there is the language question. One can get along with English as a tourist in Southeast Asian countries like Thailand. But to live there one has to learn a very difficult language or always be at a huge disadvantage and reliant on others to speak English. In Latin America, one might have more difficulty communicating at first since many people don’t speak much English. But learning Spanish or Portuguese is LOT easier than something like Thai, Vietnamese or a Chinese dialect. The long term language barrier is thus easier for those who make an effort. Yet not all Asian languages are difficult. Indonesian and Malaysian are comparatively simple, especially since they have adopted latin scirpt.