Hi

Banking and insurance courses which you can do after graduation are

MCom in banking and insurance

MCom in Bank Management

MBA in banking and Insurance

There are also online courses,part time ,postgraduate diploma and advanced diploma courses. Diploma courses are mostly 1-2 year depending on the course.

Some reputed colleges and universities conduct a common entrance test (GMAT, CAT, XAT, MAT, SNAP, etc) for admission into its MBA programs.

you will find this links useful. Check it out.

https://bschool.careers360.com/colleges/list-of-mba-in-banking-and-insurance-colleges-in-india

https://www.ipeindia.org/post-graduate-diploma-in-banking-insurance-and-financial-services/

https://www.careers360.com/courses/banking-and-insurance-course

https://www.isbm.org.in/advanced-diploma-in-banking-finance-and-insurance.php

https://www.welingkaronline.org/pgdm-in-banking-investment-insurance

https://university.careers360.com/colleges/list-of-mcom-in-banking-degree-colleges-in-india

Hope this helps.