Hi Ayan,

The top 5 colleges are:-

NSHM KNOWLEDGE CAMPUS

IEM KOLKATA

BRAINWARE UNIVERSITY

BESC KOLKATA

J.D.BIRLA INSTITUTE KOLKATA

SCOTTISH CHURCH COLLEGE

All the best!!

Dear Student,
There are many good colleges in Kolkata offering BBA/BBM as a course but if best is to be talked about the best college for pursuing BBA from Kolkata would be St. Xavier's College as it is best in terms of goodwill, faculties, infrastructure, crowd, and most importantly placements. So, if aiming for the best you should definitely try for St. Xavier's.
Hope this might help you.