It depends on your interest. You can apply for various Government jobs. If you are interested in banking sector you can apply:

For Banking Jobs
SBI PO Exams: State Bank of India conducts this exam for the recruitment of Probationary officers (PO).
IBPS PO: IBPS PO CWE is a national level Bank PO exam conducted by the Institute of Bank Personnel Selection (IBPS) for hiring PO.
IBPS Clerk Exams: This clerical entrance exam is conducted for recruitment of clerks in public and private sector banks, except SBI.

Civil Services Examination: This exam is conducted for graduates by the Union Public Service Commission (UPSC) for recruitment to Civil Services in Government of India including  Indian Administrative Service (IAS), Indian Foreign Service (IFS), Indian Police Service (IPS) and Indian Revenue Service (IRS).

If you explain your field of interest I can help you more about.

Good Luck!