I do not really think that there is any country in the world right now that do not eat rice. There may be people in certain countries that do not eat rice because they dislike it a lot. Most of the time, it is the people in a certain country who will decide if they would like to eat rice or not.
For example, someone who is living in Asia may be expected to eat rice because most Asian countries will almost always serve rice with almost everything that they will offer. Yet, there are some people from Asia who do not want to eat any rice just because they do not like it as much as people would expect them to. Rice is already considered to be a food product that is available almost everywhere.