united states
Chad
Many Iraqi refugees have fled to Syria and Jordan (although those who fled to Syria are now turning back around). Those that could go farther have found asylum in the United States and much of Western Europe.
The answer used to be Syria. However, given the Syrian Civil War, many Iraqi refugees have fled Syria. Jordan is probably a better answer now, even though it lacks a large number of Iraqi refugees.
In general refugees are from the country from which they have fled.
Yes there are many millions of refugees today in many parts of the world where there is conflict. You seriously need to watch the news or read the papers. Have you not heard that there are four million Syrian refugees who have fled the civil war in Syria? The situation is so bad that it is talked about all the time.
Most Kosovar refugees (ca 400,000) were displaced within the Kosovo area. Of those that fled to other countries, most fled to Albania.
Many refugees fled to Pakistan from Afghanistan because they had a war.
Most of the Danish Jewish refugees fled to Sweden.
Liberal German refugees who fled failed democratic revolutions and came to America were called 48ers.
Macedonia
Pakistan has recently received large numbers of refugees from Afghanistan. These are refugees who fled from the wars in their country.
African refugees are people who have fled Africa, because they are not excepted for their race, religion, political party, or nationality