Below are the top 20 private colleges of Engineering  through JEE Main.
(Ratings are provided by Careers 360 on the basis of Cut off, Accreditation and Reward status, Publication record from Elsevier’s indexing database - Scopus, Placements and Faculty)

AAAA+ Rating (Outstanding)
AAAA Rating (Very Good)

-PSG College of Technology, Coimbatore- AAAA+ Rating
-SASTRA University, Thanjavur- AAAA+ Rating
-SSN College of Engineering, Kalavakkam-AAAA+ Rating
-Thapar University, Patiala- AAAA+ Rating
-Amity School of Engineering, Noida- AAAA Rating
-Bharati Vidyapeeth Deemed University College of Engineering, Pune- AAAA Rating
-Birla Institute of Technology, Mesra- AAAA Rating
-BS Abdur Rahman University, Chennai- AAAA Rating
-CV Raman College of Engineering, Bhubaneswar- AAAA Rating
-Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar- AAAA Rating
-GH Raisoni College of Engineering, Nagpur- AAAA Rating
-GITAM University, Visakhapatnam- AAAA Rating
-Jaypee Institute of Information Technology, Noida- AAAA Rating
-Jaypee University of Information Technology, Solan- AAAA Rating
-K L University, Guntur- AAAA Rating
-Maharashtra Institute of Technology, Pune- AAAA Rating
-Nirma University, Ahmedabad- AAAA Rating
-Shiv Nadar University, Dadri- AAAA Rating
-Shri Govindram Seksaria Institute of Technology and Science, Indore- AAAA Rating

-Vignan University, Guntur- AAAA Rating

To check complete list you can refer below link
Top Private Engineering Colleges through JEE Main

Good Luck!!