Along with CAT percentile if your profile is good enough then you can expect calls from ultra new IIMs like IIM Sambalpur, IIM Nagpur etc. There is a very slight chance of getting calls but still, you can hope for the best.

Other than that you can apply in different IIT's accept IIT Bombay, IIT Delhi. From other IITs again there is a slight chance of getting a call depending on your profile.

Other than that you need to figure out which colleges actually follow the government reservation system because private colleges do not follow this.

If you still want to go to a college without this reservation system then I can definitely tell you the list of colleges.

All the best!!