See the list below to find out the banks of India
Central bank
Reserve Bank of India

State Bank of India & associates (also nationalized)

State Bank of India
State Bank of Bikaner & Jaipur
State Bank of Hyderabad
State Bank of Indore (now merged into state bank of India)
State Bank of Mysore
State Bank of Patiala
State Bank of Saurashtra (Now merged into State Bank of India)
State Bank of Travancore

Nationalized banks

Allahabad Bank
Union Bank of India
Bank of Baroda
Bank of India
Bank of Maharashtra
Canara Bank
Punjab & Sind Bank
Corporation Bank
Dena Bank
Indian Overseas Bank
Indian Bank
IDBI Bank
Oriental Bank of Commerce
Andhra Bank
Central Bank of India
Syndicate Bank
UCO Bank
Punjab National Bank
United Bank of India
Vijaya Bank

Old private sector banks

Catholic Syrian Bank
South Indian Bank
Dhanlakshmi Bank
City Union Bank
Karur Vysya Bank
Federal Bank
Ratnakar Bank
Lakshmi Vilas Bank

New private sector banks

Axis Bank (Formerly UTI Bank)
HDFC Bank
ICICI Bank
IndusInd Bank
ING Vysya Bank
Kotak Mahindra Bank
Yes bank

Foreign banks operating in India

ABN
VTB
Abu Dhabi Commercial Bank
Antwerp Bank
Bank of Bahrain and Kuwait B.S.C.
Bank of Ceylon
Bank of Nova Scotia (Scotia Bank)
Barclays Bank PLC
Calyon Bank
Citibank N.A.
DBS Bank
Deutsche Bank AG
ING
Krung Thai Bank
Mizuho Corporate Bank
Oman International Bank S.A.O.G.
Shinhan Bank
Sonali Bank
Standard Chartered Bank
UBS
AMRO Bank N.V.
American Express Bank
Arab Bangladesh Bank
Bank of Tokyo Mitsubishi UFJ
Bank of America NA
Bank Internasional Indonesia
BNP Paribas
HSBC
Chinatrust Commercial Bank
JPMorgan Chase Bank
State Bank of Mauritius
Mashreq Bank psc
Société Générale
 
Cooperative banks

Cosmos Bank

Merged or defunct banks

Arbuthnot & Co
Bank of Bombay (now part of the State Bank of India)
Bank of Calcutta (now part of the State Bank of India)
Bank of Chettinad
Bank of Madras (now part of the State Bank of India)
Binny & Co
Bank of Madura (now part of ICICI Bank)
Lord Krishna Bank (now part of Centurion Bank of Punjab)
Global Trust Bank (now part of Oriental Bank of Commerce)
Centurion Bank of Punjab (now part of HDFC Bank)