As you want to get the list of some of the best entrance exam to get admission in M.Tech other than GATE so here it is for you:

M.Tech entrance exams in India other than GATE:
All India Engineering Entrance Examination
B.E.E.E. or Bharath University Engineering Entrance Exam
B.I.T. or Mesra, Ranchi
B.I.T.S.A.T. or Birla Institute of Science and Technology
B.S.A.U.E.E.E. or B.S. Abdur Rahman University Engineering Entrance Examination
D.A.IICT Entrance Examination
Entrance Examination of Dhirubhai Ambani Institute of Information and Communication Technology
Entrance Examination of Kalinga Institute of Industrial Technology
Entrance Examination of Manipal Institute of Technology in Karnataka
Entrance Examination of Motilal Nehru National Institute of Technology in Allahabad
Entrance Examination of N.E.R.I.S.T. or North Eastern Regional Institute of Science and Technology
Engineering Entrance Examination of Avinashilingam Deemed University for Women in Coimbatore
G.G.S.I.P.U. Engineering C.E.T. Entrance Examination
Karnataka C.E.T.
Master of Engineering Entrance Examination of National Institute of Technical Teachers Training and Research in Chandigarh
M. Tech Entrance Examination of Banaras Hindu University
M. Tech Entrance Examination of Deenbandhu Chhotu Ram University of Science and Technology
M. Tech Entrance Examination of I.I.I.T. or Indian Institute of Information Technology in Allahabad
M. Tech Entrance Examination of International Institute of Information Technology or I. I. I. T.
M. Tech Entrance Examination of Indian School of Mines in Dhanbad
M. Tech Entrance Examination of Jamia Milia Islamia University in New Delhi
M. Tech Entrance Examination of Kerala University
M. Tech Entrance Examination of L.N.M. Institute of Information Technology in Jaipur
M. Tech Entrance Examination of Nirma University in Ahmedabad
M. Tech Entrance Examination of R.I.S.T. or Regional Institute of Science and Technology in Meghalaya
P.G.C.E.T. or Post Graduate Common Entrance Test in Karnataka
P.G.E.C.E.T. or Post Graduate Engineering Common Entrance Test
P.T.U.CET
S.R.M.E.E.E. or S.R.M. Engineering Entrance Examination
T.A.N.C.E.T. or Tamil Nadu Common Entrance Test
U.P.E.S. - S.E.A.T. Engineering Entrance Test of University of Petroleum and Energy studies in Dehradun
V.I.T.E.E.E.
V.T.U.E.E.E. or V.E.L. Technical University Engineering Entrance Examination in Chennai

List of colleges which are offering M.Tech admission not on the basis of GATE:

Jamia Hamdard University, Kamdard Nagar, Delhi
Guru Gobind Singh Indraprastha University, Kashmere Gate, Delhi
Department of Environmental Biology Delhi University, Delhi
Jawahral Nehru University(JNU), School of Environmental Sciences, New Delhi
Aligarh Muslim University, Zafarabad Road, Jaunpur
Babasaheb Bhimrao Ambedkar University, Agra
University of Rajasthan, Jaipur
Anna University, Guindy, Chennai-600025
Bharathiar University, Coimbatore
Cochin University of Science and Technology, Kochi
Tamil Nadu GD Agricultural University, Coimbator
University of Jammu, Jammu
Awadh University, Faizabad-224001
College of Science,GITAM University,Andhra Pradesh
Institute of Environment Education And Research,Bharati Vidyapeeth,Maharashtra
Fergusson College,University of Pune