Hi Shubham,
There are many best Private Colleges for MCA:-
1. Institute of Management Studies, Noida
2. Noida Institute of Engineering and Technology, Greater Noida.
3. Viveknanda Institute of Proffesional Studies, New Delhi.
4. Manav Rachna International Institute of Research and Studies(MRIIRS), Faridabad
5. Sharda University(SU), Greater Noida
6. Noida International University(NIU), Gautam Budh Nagar, Uttar Pradesh
6. Amity University, Noida
7.Guru Gobind Singh Indraprastha University,  Delhi
8.Jamia Millia Islamia, JamiaNagar,Delhi.
All the Best!!