Hello,
Generally, the top BBA colleges in India are affiliated to universities.However, there are certain institutes which are autonomous.The Top BBA Colleges in India are mainly affiliated by the following universities:

• University of Delhi

• Guru Gobind Singh Indraprastha University, Delhi

• University of Mumbai

• Symbiosis International University, Pune

• NMIMS University, Mumbai

• Bharati Vidyapeeth Deemed University, Pune

• Christ University, Bangalore

• Gitam University, Vishakhapatnam

For full list of colleges with number of seats and exam name,You can refer to below given link:
https://bschool.careers360.com/articles/top-bba-colleges-in-india
Good luck.

You can go through below names -

 

Indian Institute of Management (IIM), Indore

Shaheed Sukhdev College of Business Studies, Delhi

Keshav Mahavidyalay, Delhi

Deen Dayal Upadhyay College, Delhi

Gargi College, Delhi

Sri Guru Gobind Singh College of Commerce, Delhi

HR College of Commerce and Economics, Mumbai etc.

 

To check the complete list, you can go through the below link -

https://bschool.careers360.com/articles/top-bba-colleges-in-india

 

Good Luck!!!