Folks have suggested that the Balkans and Russia would be much more popular settings, but I am not sure. See, the Yugoslav Wars largely ended by 2001, and Putin did not really register with most Americans as an Evil Dictator until the Russian invasion of Georgia. On the other hand, even without a major terrorist attack on the United States that leads several large-scale American invasions and occupations in the Middle East and Central Asia, those regions will still likely be restive in ways which will garner media attention and perhaps even invite low-level Western involvement.
Even in a world where Saddam's Iraq, the Ayatollah's Iran, and the Taliban's Afghanistan avoid any direct conflict with the United States until 2010 at the earliest, they were still firmly cemented in American minds as antagonistic rogue states, as well as an easy source of stock villains for Hollywood and the video game industry. Even if there not many games that directly depict (from the perspective of folks in that timeline) some near-future invasion of Iraq, Iran, or Afghanistan, generic Middle Eastern and Central Asian settings will likely be nearly as popular as in our timeline.