Hello, there are no such universities available in India which offers the online courses in India. Here I am providing you the list of universities offer the distance courses as under:

Dr. B.R.Ambedkar Open University
Netaji Subhas Open University
University of Mumbai
IMT Distance and Open Learning Institute
Maharishi Dayanand University
Symbiosis Centre for Distance Learning
SNDT - Women's University
M.P. Bhoj (Open) University
Shivaji University
Yashwantrao C. Maharashtra Open University
Osmania University
Acharya Nagarjuna University
University of Delhi
Indira Gandhi National Open University
Sikkim Manipal University
Dr. Babasaheb Ambedkar Open University
Alagappa University
Andhra University
Annamalai University
Maulana Azad National Urdu University

If you want any of the details of the any of the university, feel free to ask.