List of few Non IIM-Member Institutes Accepting CAT Score in India is given below:

Xavier Institute of Management & Entrepreneurship Bangalore
FORE School of Management Delhi/NCR
LIBA (Loyola Institute of Business Administration) Chennai
Birla Institute of Technology and Science (BITS-Pilani) Pilani
Prin. L.N. Welingkar Institute of Management Mumbai (All)
Indian Institute of Technology Roorkee Roorkee
Lal Bahadur Shastri Institute of Management (LBSIM) Delhi/NCR
ICFAI Business School Hyderabad
Xavier Institute of Social Service Ranchi
Bharthidasan Institute of Management Tiruchirappalli
Banaras Hindu University Varanasi
Institute for Financial Management and Research (IFMR) Chennai
Institute of Management Technology Nagpur
University Business School (UBS), Panjab University, Chandigarh Chandigarh
Indian Institute of Forest Management (IIFM) Bhopal
National Institute of Technology, Trichy Tiruchirappalli
Motilal Nehru National Institute of Technology Allahabad
VIT Business School Chennai
Birla Institute of Management Technology Delhi/NCR
ICFAI UNIVERSITY Mumbai (All)
Indian Institute of Science Bangalore
Indian Institute of Management (IIM) Kashipur Uttarakhand - Other
National Institute of Technology, Durgapur Durgapur
Christ University Institute of Management Bangalore
International School of Business & Media (ISB&M) Pune
Alliance School of Business,Alliance University Bangalore
National Institute of Technology, Surathkal Mangalore
Indian Institute of Social Welfare and Business Management Kolkata
Institute of Management Development and Research (IMDR) Pune
National Institute of Bank Management, Pune Pune
ITM Business School Mumbai (All)
N. L. Dalmia Institute of Management Studies and Research Mumbai (All)
Amity Business School Delhi/NCR
NIILM Centre for Management Studies Delhi/NCR
Shri Dharmasthala Manjunatheshwara Institute for Management Development Mysore
University of Petroleum and Energy Studies (UPES) Dehradun
Amrita School of Business - Dept. of Management Studies Bangalore
Army Institute of Management Kolkata
School of Petroleum Management - PDPU Gandhinagar
SIES College of Management Studies Mumbai (All)
Institute of Public Enterprise Hyderabad
KIIT School of Management (KSOM) Bhubaneswar
AIMS, Bangalore Bangalore
Balaji Institute of Modern Management, Formerly Indian Institute of ModernManagement Pune
St. Joseph's College of Business Administration Bangalore
Jagan Institute of Management Studies Delhi/NCR
Institute of Management Studies Delhi/NCR
SCMS COCHIN School of Business Kochi
Kirloskar Institute of Advanced Management Studies (KIAMS) Pune
PSG Institute of Management (PSGIM) Coimbatore
MIT School of Business Pune
SKYLINE Business School Delhi/NCR