The IFS database contains approximately 32,000 time series covering more than 200 countries and areas. Data on all aspects of international finance, including balance of payments, liquidity, money and banking, exchange rates, interest rates, prices, production, transactions, national accounts, and population. You may need to register to download data.
*** To extract data sets select the "Query across Datasets" then pick your "Country," "Concept," "Data Source," and "Time," (year) options.

Select a country, then browse by topic. Topics include development, poverty, finance, etc.

From the U.S. Census Bureau, links to countries' official statistical agencies.

Statistics from the UN Economic and Social Commission for Asia and the Pacific (ESCAP)