I think AIM or Asian Institute of Management in the Philippines ,Indian Institute of Management and Melbourne are top 3 and the oldest institutions for business schools in Asia. They are consistently top Asian business schools in ranking for Asia Pacific for Asia Week and FT.
The following schools are the key schools in Asia and Pacific based on ratings in the FT and Asia Week. Rankings, links and information for individual countries are available TOP ASIA PACIFIC MBA & BUSINESS SCHOOLS.
1 Melbourne Business School
2 Indian Institute of Management, Ahmedabad
3 Asian Institute of Management (Philippines)
4 Asian Institute of Technology, Thailand (School of Management)
5 NUS Business School (National University of Singapore)
6 Chinese University of Hong Kong
7 Korea Advanced Institute of Science and Technology (Graduate School of Management)
8 Macquarie Graduate School of Management (Australia)
9 Nanyang Business School (Nanyang Technological University, Singapore)
10 Sasin Graduate Institute of Business and Administration (Chulalongkorn University, Thailand)
check
http://www.careerdynamo.com/asia_mba.html