Some engineering colleges take direct admission based on your 12th score like :
RV College of Engineering.
BMS College of Engineering.
Ramaiah Institute of Technology.
Dayananda Sagar College of Engineering.
Bangalore Institute of Technology.
SRM University.
Siddaganga Institute of Technology

Also there are many good engineering colleges in India which give admission without qualifying for JEE Main but they have their specific entrance exams which you have to qualify for being eligible to get admissions.
Some of those exams are :-
VITEEE- Vellore Institute of Technology Engineering Entrance Exam.
BITSTAT- Birla Institute of Technology & Science Admission Test.
LPUNEST- Lovely professional university National Eligibility and scholarship Test.
ITSAT - ICFAI Tech School Admission Test.

Hey there

Mentioned below are the top engineering colleges or universities which provide direct admission without accepting JEE Mains:

1. Ramaiah Institute of Technology
2. Dayananda Sagar College of Engineering
3. Bangalore Institute of Technology
4. Siddaganga Institute of Technology
5. PSG College Of Technology

For getting more details you can click on below link related to Engineering colleges in India:

https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-india&ved=2ahUKEwjRxePuudHyAhW1zTgGHXSzDxkQFnoECAwQAQ&usg=AOvVaw3SUj_XRCZ99RL-6ndrGyCo

College Predictor link:

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

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