Hello Aspirant,

Yes there are various good private engineering colleges for other than NTs/IITs/IIITs/GFTIs which are enlisted below :-

BITS Pilani- Hyderabad Campus, Hyderabad

Birla Institute of Technology and Science, Pilani

Graphic Era University, Dehradun

International Institute of Information Technology, Hyderabad

RV College of Engineering, Bangalore

Thapar Institute of Engineering and Technology, Patiala

Amity School of Engineering, Noida

Amrita School of Engineering, Coimbatore

Army Institute of Technology, Pune

Vellore Institute of Technology, Vellore

SRM Institute of Science and Technology, Chennai

For complete list refer to the link given below :-

Top Private Engineering Colleges in India - Rank, Brochure, Compare Colleges (careers360.com)

I hope this information helps you.

Good Luck!!