You can check the top collges below which provides good placements apart from IITs and NITs

Government

Delhi Technological University, Delhi

Indian Institute of Engineering Science and Technology, Shibpur

Private

Birla Institute of Technology and Science, Pilani

VIT University, Vellore

SRM University, Chennai

Manipal Institute of Technology, Manipal

Amrita School of Engineering, Coimbatore

BMS College of Engineering, Bangalore

PSG College of Technology, Coimbatore

Ramaiah Institute of Technology, Bangalore

RV College of Engineering, Bangalore

SASTRA University, Thanjavur

You can appear for BITSAT, VITEEE, SRMJEE, Manipal,Amrita and cOMEDK in order to take admission.

All the Best!!