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This is a post that's going to grow over time, as I find more things to add to it. It's a list of useful places to pick up news and analysis of Eurasian politics:
South Asia, the Middle East, Central Asia and the Caucasus, China and Russia.
General
Radio Free Europe/Radio Liberty is the bomb. So is EurasiaNet
YaleGlobal doesn't have much volume, but does have the ivy-league smarts.
Eurasia Daily Monitor: a firehose, but a good one.
Russian-language newspapers:Kavkazweb, Day.AZ (Azerbaijan), Yandex, Izvestia, Redtram (in English, French, Russian)
Others: Power and Interest News Report
Think Tanks
Institute for Public Policy (Kyrgyzstan)
SIPRI, the Stockholm International Peace Research Institute,
Central Asia general
Ferghana.ru naturally enough centers on the Ferghana Valley.
Central Asia - Caucasus Analyst - has been criticised in several places, and I don't know nearly enough to judge for myself.
News by country
Kyrgyzstan
New Eurasia has a list of news sites in the sidebar:
Uzbekistan
UzReport - business-oriented news from Uzbekistan.
China
China.org.cn is 'China's official gateway to news and information'. Then there is Xinhua, the state news agency.
US
Institute for the Analysis of Global Security Neo-con writings on energy geopolitics, from a US-centric perspective. Include several reports on the former Soviet Union.