As you want to get the list of some of the best universities or colleges which allow Lateral Entry Entrance Test students so here it is for you:

List of Engineering Lateral Entry Entrance Exams
• Calicut University Lateral Entry Entrance Exams
• Delhi technical University Lateral Entry Entrance Examination
• Kerala University Lateral Entry Exam
• KIIT University Lateral Entry Entrance Examination
• Lateral Entry Entrance Test LEET
• LPU NEAT (National Engineering Aptitude Test)
• MIT-Manipal BE Lateral Entry Entrance Exam
• Mumbai University Lateral Entry Entrance Examination
• Punjab Technical University Lateral Entry Entrance Test (PTU LEET)
• UKSEE B.Tech (Lateral Entry) Entrance Exam
• Uttarakhand Technical University Lateral Entry Entrance Test
• West Bengal University Joint Entrance Exam for Lateral Entry (JELET)

List of major institutions/Universities that take part in these Entrance Exams
• Amity School of Engineering
• Amrita Institute of Technology & Science
• Cochin University, Cochin
• CUSAT Kochi
• Dharmsinh Desai Institute of Technology
• Dhirubhai Ambani IICT Gandhinagar
• Faculty of Engineering and Technology, Jadavpur University, Kolkata
• G.H. Patel College of Engg & Technology
• Guru Nanak Dev Engg College Ludhiana
• Harcourt Butler Technological Institute Kanpur
• Hindustan Institute of Technology, Chennai
• IIIT- Allahabad
• Indraprastha University, New Delhi
• Institute of Technology, Nirma Univ, Ahmedabad
• International Institute of Information Technology, Hyderabad
• Jabalpur Engineering College
• Jamia Millia Islamia, New Delhi New Delhi
• JNTI Hyderabad
• Kalinga Institute of Industrial Technology Bhubaneshwar
• KIITS Orissa
• M.S. Ramaiah Institute of Technology
• M.S. Ramaiah Institute of Technology Bangalore
• Maharashtra Institute of Technology (MIT)
• MNIT Jaipur
• St. Longowal Institute of engineering and tech., Punjab
• VIT Vellore