As you want here I am telling name worlds top universities name which provide Asynchronous MBA by online mode:

Arizona state university (carey)
Arkansas state university – jonesboro
Auburn university
Ball state university (miller)
Boston university
Central michigan university
Georgia college and state university
Indiana state university – bloomington
James madison university
Pace university
Pennsylvania state university – world campus
Quinnipiac university
Temple university
University of florida (hough)
University of nebraska – lincoln
University of tennessee – martin
University of texas – dallas
University of west georgia (richards)
University of wisconsin – consortium
Washington state university