Based on marketcap, these are the top PSU banking companies in India:
#1 SBI
#2 BANK OF BARODA
#3 SYNDICATE BANK
#4 IDBI BANK
#5 PNB
You can see the full list of the banking stocks here.
And for a fundamental analysis of the above companies, check out Equitymaster’s Indian stock screener which has a separate screen for top banking stocks in India.