Well below I have given you the rankings for the universities in the Karnataka so you can have a look

1 Indian Institute of Science
Bangalore
2 Manipal University
Manipal ...
3 Christ University
Bangalore
4 Visvesvaraya Technological University
Belgaum
5 National Institute of Technology, Karnataka
Mangalore
6 Jawaharlal Nehru Centre for Advanced Scientific Research
Bangalore
7 University of Mysore
Mysore ...
8 Jain University
Bangalore
9 Bangalore University
Bangalore
10 National Law School of India University
Bangalore
11 International Institute of Information Technology Bangalore
Bangalore
12 PES University
Bangalore
13 Alliance University
Bangalore
14 National Institute of Mental Health and Neuro Sciences
Bangalore
15 Rajiv Gandhi University of Health Sciences
Bangalore
16 Mangalore University
Mangalore
17 Gulbarga University
Gulbarga
18 NITTE Unversity
Mangalore
19 Central University of Karnataka
Gulbarga
20 Kuvempu University
Shimoga
21 University of Agricultural Sciences, Bangalore
Bangalore ...
22 Azim Premji University
Bangalore
23 KLE University
Belgaum ...
24 Karnatak University
Dharwad
25 University of Agricultural Sciences, Dharwad
Dharwad
26 Karnataka State Law University
Hubli
27 Rani Channamma University, Belagavi
Belagavi
28 Karnataka Veterinary, Animal and Fisheries Sciences University
Bidar
29 Jagadguru Sri Shivarathreeswara University
Mysore ...
30 Tumkur University
Tumkur
31 Yenepoya University
Mangalore
32 REVA University
Bangalore
33 Swami Vivekananda Yoga Anusandhana Samsthana
Bangalore
34 M. S. Ramaiah University of Applied Sciences
Bangalore
35 BLDE University
Bijapur
36 University of Agricultural Sciences, Raichur
Raichur
37 Kannada University
Vidyaranya
38 Vijayanagara Sri Krishnadevaraya University
Bellary
39 University of Horticultural Sciences, Bagalkot
Bagalkot
40 Karnataka State Women's University
Bijapur ...
41 Nitte University
Mangalore
42 Sri Siddhartha Academy of Higher Education
Tumkur
43 Davangere University
Davangere
44 Karnataka Sanskrit University
Bangalore
45 Sri Devaraj Urs Academy of Higher Education and Research
Kolar
46 CMR University
Bangalore
47 University of Agricultural and Horticultural Sciences
Shimoga
48 Trans-disciplinary University
Bangalore
49 Karnataka Janapada Vishwavidyalaya
Shiggaon
50 Karnataka State Dr. Gangubai Hangal Music And Performing Arts University
Mysore