First, you should check whether you are eligible for NITs/IITs/IIITs anf CFTIs.

According, to the eligibility criteria you should have 75% marks in your board exam or you should be in top 20 percentile.

Can you please tell me your board. So, that I can check whether you are in top 20 percentile or not?

If you want to take admission in government colleges you can apply in DTU and NSIT. It takes admission through JEE Main and counselling is held through JAC Delhi.

You should also appear in your state level entrance exam to take admission in state government colleges.

For private colleges you can check the list below in which you can apply

Amrita School of Engineering, Coimbatore

SRM University, Chennai

Vit University, Vellore

BMS College of Engineering, Bangalore

Manipal Institute of Technology, Manipal

PSG College of Technology, Coimbatore

Ramaiah Institute of Technology, Bangalore

RV College of Engineering, Bangalore

SASTRA University, Thanjavur

To check the complete list you can refer below link

Top Private Engineering Colleges

Good Luck!!