Hey there

There are various government BBA colleges in India but not all are good mostly private Institutes have better ranking in case of BBA some of the government colleges are

Jamia Millia Islamia New Delhi, department of management sciences savitribai Phule pune University, pune etc.

Check complete list of BBA colleges

https://bschool.careers360.com/colleges/list-of-bba-colleges-in-india?ownership=Public/Government

Good luck