You can check below the top colleges who provides admission on behalf of JEE Main other then IITs, NITs and IIITs.

Delhi Technological University, Delhi

Indian Institute of Engineering Science and Technology, Shibpur

SASTRA University, Thanjavur

Thapar University, Patiala

Birla Institute of Technology, Mesra

Amity School of Engineering, Noida

Bharati Vidyapeeth Deemed University College of Engineering, Pune

To check the complete list you can refer below link

Top Colleges through JEE Main