As you have asked about the top MBA colleges other than IIM, I am listing some of them below:

Faculty of Management Studies (FMS), University of Delhi, Delhi
Jamnalal Bajaj Institute of Management Studies (JBIMS), Mumbai
S. P. Jain Institute of Management & Research (SPJIMR), Mumbai
Shailesh J. Mehta School of Management (SJMSOM), Indian Institute of Technology Bombay (IITB)

XLRI Xavier Institute of Management, Jamshedpur
Department of Management Studies (DMS), Indian Institute of Technology Delhi (IITD)

Indian Institute of Foreign Trade (IIFT), Kolkata
Indian Institute of Foreign Trade (IIFT), New Delhi
Management Development Institute (MDI), Gurgaon
Narsee Monjee Institute of Management Studies (NMIMS), Mumbai
Tata Institute of Social Sciences (TISS), Mumbai
Department of Financial Studies (DFS), University of Delhi, South Campus
Department of Industrial and Management Engineering (IME), Indian Institute of Technology Kanpur

Department of Management Studies (DoMS), Indian Institute of Technology Madras (IITM)

Mudra Institute of Communications, Ahmedabad (MICA)
National Institute of Industrial Engineering (NITIE), Mumbai
Sydenham Institute of Management Studies and Research and Entrepreneurship Education, Mumbai

Symbiosis Centre for Management and Human Resource Development (SCMHRD), Pune
Symbiosis Institute of Business Management (SIBM), Pune
Vinod Gupta School of Management (VGSOM), Indian Institute of Technology Kharagpur
Xavier Institute of Management, Bhubaneswar (XIMB)