The Asian Development Bank publishes a range of economic, financial, social, environmental and Sustainable Development Goal (SDG) statistics on its 49 member countries from the Asia and Pacific region (there are 68 members in total). In the statistics section, you can search by country under the headings: Economic Indicators, Poverty Indicators and Statistical Reports.
This section of the site contains various datasets classified under a number of headings, such as Development, Economic Projections, Labour and National Accounts. You can customise the datasets by series, countries and years.
The United Nations Conference on Trade and Development (UNCTAD) site has an online statistical database, UNCTADstat. This contains data on international trade, foreign direct investment (FDI), commodity prices, economic trends, population and labour, external financial resources and maritime transport.