As you asking I am telling in Delhi there are four central universities named are University of Delhi, Jawaharlal Nehru University, Jamia Millia Islamia University and Indira Gandhi National Open University, and five state universities and 13 deemed universities:

Here is listing of institution for higher study in new Delhi in India:
All India Institute of Medical Sciences
Bharat Ratna Dr. B. R. Ambedkar University New Delhi
Delhi Technological University (formerly known as Delhi College of Engineering) Delhi
Guru Gobind Singh Indraprastha University Delhi
Indian Agricultural Research Institute New Delhi
Indian Institute of Foreign Trade New Delhi
Indian Institute of Mass Communication Delhi
Indian Institute of Technology, Delhi New Delhi
National Institute of Technology, Delhi New Delhi
Indian Law Institute New Delhi
Indira Gandhi National Open University New Delhi
Indraprastha Institute of Information Technology New Delhi
Jamia Hamdard New Delhi
Jamia Millia Islamia New Delhi
Jawaharlal Nehru University New Delhi
National Law University, Delhi New Delhi
National Museum Institute of History of Art, Conservation and Musicology New Delhi
National School of Drama New Delhi
National University of Educational Planning and Administration New Delhi
Rashtriya Sanskrit Sansthan New Delhi
School of Planning and Architecture New Delhi
Shri Lal Bahadur Shastri Rashtriya Sanskrit Vidyapeetha New Delhi
South Asian University New Delhi
TERI University New Delhi
Institute of Liver and Biliary Sciences New Delhi
University of Delhi New Delhi
Indian Statistical Institute New Delhi
National Institute of Fashion Technology New Delhi
Ambedkar Institute of Technology
Govind Ballabh Pant Engineering College
Indira Gandhi Institute of Technology
National Power Training Institute
New Delhi Institute of Management
UEI Global[25]
University School of Biotechnology
University School of Chemical Technology
University School of Information Technology
University School of Management Studies
Vardhman Mahavir Medical College

Centers under Jamia Millia Islamia University.
AJK, Mass Communication Research Centre
Sarojini Naidu Centre for Women's Studies

List of colleges under Delhi University.
AJK, Mass Communication Research Centre, Jamia Millia Islamia, New Delhi
Amity Law School
Apeejay Institute of Design
Bhaskraycharya College of Applied Sciences[26]
Bhim Rao Ambedkar College
Ch. Brahm Prakash Government Engineering College
College of Vocational Studies
Delhi College of Engineering
Delhi Music Academy
Delhi School of Music
Gargi College
Government Engineering College
Indian Institute of Planning and Management (IIPM)
Kirori Mal College
Maulana Azad Medical College
Miranda House[27]
Mount Carmel Business School
Netaji Subhas Institute of Technology
Ramjas College
Satyam Institute for Management Technology and Science
Shaheed Sukhdev College of Business Studies
Sri Venkateswara College
UEI Global