Thank you for your question. I love real estate and have been dealing in this business for almost 20 years now across the world. I've personally invested in quite a few countries around the world and have learned a good deal of this business the hard way.
It's always important to have a good broker on the floor and good management that can help you can returns from your property. But most of all, since you are looking at investing out of your home country (probably), the main issue is that you should not be cheated.
The truth is that it really depends on your needs and business. If you are looking at buying a properly and relocating to that place, then you would have to consider which timezone suits you the best and we can take it from there.
However, if you are looking at this project strictly from an investment point of view, I would always focus now more on the west and main cities (New York, London, Paris, etc). You can get good properties that under a good management could give you good yearly returns.
One of the reasons I am discarding the far east now is because of the initial problems we are seeing in the asian markets. The prices are very high there and could be approaching in a few years a real estate bubble.
You should take this into account in order to insulate yourself from a property crash and seeing how your investment loses value.
Now, once again, if your idea is live it and keep it (ie, not rent it) and let it appreciate in value, then think about how long would you want to keep it (10 years - 20 years) as the lifespan of a property investment goes along with economic cycles.
All in all, I still think the best places where to invest in properties now are civilzed first economy countries (USA, Canada, England, France, Germany and even Spain).
If you want to expand, we can arrange for an expert call. Just book a time that suits you and we can look into it more deeply.
Thank you and best of luck with your investment.