The top  private colleges which has CSE branch are:

• SRM Institute of Science and Technology, Chennai.
• IIIT Guwahati.
• SOA University, Bhubaneswar.
• Koneru Lakshmaiah Education Foundation, Hyderabad.
• Birla Institute of Technology, Ranchi.
• Manipal Institute of Technology, Manipal.

These are some of the best colleges which are private on one side but it has good faculty,placements along with good infrastructure.

Hope it helps!!