Hi Ifraz,
Yes, you can get admission in colleges other than IITs and NITs on the basis of your JEE Main Ranking. Various private institutes provide admission to students on the basis of JEE Main score.

Here is the list of engineering colleges accepting JEE Mains score.

1. Delhi Technical University

2. Indian Instituite Of Engineering science and Technology shibpur

3. Jadavpur University, kolkata

4. Amity school of Engineering, Noida

5. Jamia Milia Islamia, New Delhi

You can check the complete list here,

https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-India-accepting-jee-main-score

Hope this helps you!!

DTU, IIITs, Thapar University, IISc Bangalore are few. For a complete list see Top Engineering Colleges in India accepting JEE Main score