I have shared my experience ordering using AmazonGlobal and so far it has been positive. If I may add about one of the main difficulties at the time, it was a bit hard to know whether a product would be eligible or not from the catalog list. It was only until you go to the product page you could finally know. Now Amazon has made things much easier as you can filter the products listed on your search results or category views for ones that are AmazonGlobal eligible to your country.
To do this, just look for International Shipping under Refine by and you should see a checkbox to filter the results. The cool thing is, Amazon seems to be able to detect your country even without an account. Most likely it works through IP detection.
AmazonGlobal is a program offered by the biggest e-commerce company in the world to ship orders directly from their US store/warehouse and have the customs fee estimated upfront.