Got Composite score = 648.50 and Percentile below = 83.90, so can I get into any reputed college or should wait for next time to get 90-95+?

Here is a list of colleges that you have a high chance for admission according to Pathfinder tool for MAT. You can use the link below for using the tool itself. If you are satisfied with the colleges that you might get admission in you can go ahead with this score otherwise if you wish to have an even better college you can go for the February attempt.
Institute of Public Enterprise, Hyderabad
Alliance University, Bangalore

Christ University  Bangalore
ITM Business School, Navi Mumbai
ITM Business School, Chennai
Jaipur School of Management
Bharatiya Vidya Bhavan's Usha and Lakshmi Mittal, Delhi
Entrepreneurship and Management Processes, Delhi
FLAME University, Pune
Institute of Finance and International Management,Karnataka
Indian Institute of Finance, Greater Noida
AIMS Institute, Bangalore
International Institute of Business Studies, Karnatak
MIT School of business, Pune
Manipal Academy of Higher Education, Manipal
Guru Nanak Institute of Management Studies, Mumbai
ICBM School of business, Bangalore
https://bschool.careers360.com/pathfinder/mat