Hello Ashwini,

Jadavpur University and Delhi University are some of the colleges that you can still apply for.

But honestly, it would be better if you start searching for a private college.

There are many top-rated private colleges that you can go for. Some of them are SRM, VIT, BMS, RVR, BITS PILANI, MANIPAL INSTITUTE, and many other state-level colleges. 

The above-mentioned college does conduct their own set of exams. But frankly speaking, those are not as tough as JEE exam.

Good luck!