Since you haven't mentioned your state, I am writing here some of the top BBA LLB integrated colleges in India:

1. National Law School of India University, Bangalore
2. West Bengal National University of Juridical Sciences,Kolkata
3. IFIM Law School, Bangalore
4. Gujarat National Law University, Gandhinagar
5. National Law Institute University, Bhopal
6. National Academy of Legal Studies and Research University, Andhra Pradesh
7. Faculty of Law, Banaras Hindu University, Varanasi
8. Hidayatullah National Law University, Raipur
9. National University of Advanced Legal Studies, Kerala
10. New Law College Bharati Vidyapeeth, Pune

Please mention your choice of state, if you want to know about good colleges within your state. For more details you can check out the link below

https://law.careers360.com/colleges/list-of-bba-llb-colleges-in-delhi

I hope this helps you!