Dear Shashi,

Below I am mentioning the top 20 universities name that has been rank by NIRF. Please have a look at it.

1. Indian Institute of Science, Bangalore
2. Jawaharlal Nehru University, Delhi
3. Banaras Hindu University, Varanasi
4. Amrita Vishwa Vidyapeetham, Coimbatore
5. Jadavpur University, Kolkata
6. University of Hyderabad, Hyderabad
7. Calcutta University, Kolkata
8. Manipal Academy of Higher Education, Manipal
9. Savitribai Phule Pune University, Pune
10. Jamia Millia Islamia, New Delhi
11. University of Delhi, Delhi
12. Anna University, Chennai
13. Bharathiar University, Coimbatore
14. Homi Bhabha National Institute, Mumbai
15. Birla Institute of Technology & Science , Pilani
16. Vellore Institute of Technology, Vellore
17. Aligarh Muslim University, Aligarh
18. Institute of Chemical Technology, Mumbai
19. Andhra University, Visakhapatnam
20. Siksha `O` Anusandhan, Bhubaneswar

You can visit the official site of NIRF to check the full list.

https://www.nirfindia.org/2020/UniversityRanking.html

I hope this answer helps you.

All the very best!!