I have lived in Japan and worked in the UK where I grew up as well as Chicago and LA in the US.  In between times I have visited another 20 or so countries for fun or work.  Every trip I learned something but it was only when I was living in another country did I really start to understand the culture.    Celebrating Christmas in Japan with only chopsticks to attack the turkey and brussel sprouts was a time never to forget.

But how can you work abroad?
Be Flexible.  If your organizational is global then you may have the opportunity to visit another location, go on an exchange program or transfer if you are willing to be flexible.  The Christian Childrens Fund has operations in 40 different countries and so travel for many of their staff is a real possibility.  Find out about transfers.        Internal Transfers

Be Talented.  If you are unique or special then you could find yourself packing.  A friend of mine a legal expert has taught in China, Vietnam and Thailand.  Another friend was sent to Russia.

Be Brave.  If you want to go - just do it.  Go as a tourist and find a teaching job or true love and stay.  Or look for job advertisements or friends with contacts abroad.  An old friend of mine answered an ad for a job in Oman and had the unique experience on living in a Muslim country and a working woman.
Transitions Abroad

Be Nice.  Volunteer.  There are lots of chances for work abroad for short or long term and whatever age you are. 

And finally, some basic information about cultural considerations.  Beware of simplistic books or sites.  One says that there are no striped ties in England which seems a little strange especially as I have about 30 of them.  So read and learn but be beware of generalizations.