Hey.

Here is a list of a few good colleges to pursue BBA in Pune.

ISBM Pune 

MIT World Peace University, Pune 

Symbiosis Institute of Computer Studies and Research, Pune

Tilak Maharashtra Vidyapeeth, Pune

Bharati Vidyapeeth's Institute of Management and Entrepreneurship

Ajeenkya DY Patil University, Pune State: Pune, Maharashtra

 MIT College of Management, Pune

MIT SOM College, Pune

Symbiosis Centre for Management Studies, Pune

Brihan Maharashtra College of Commerce, Pune

Ness Wadia College of Commerce, Pune

Christ College, Pune

Best of luck