Non-scheduled banks are those banks that are not included in the Second Schedule of the Reserve Bank of India Act, 1934. They are not eligible for borrowing from the RBI's repo window, and they do not have to maintain a Cash Reserve Ratio (CRR) or a Statutory Liquidity Ratio (SLR). Here are the names of the non-scheduled banks in India and a brief explanation of each.

1. Local Area Banks (LABs) - These are small banks that serve a specific geographical area. They were introduced in 1996 to provide credit to agriculture, small industries, and other businesses in rural areas.

2. Regional Rural Banks (RRBs) - These banks were established in 1975 to provide financial services to rural areas. They are jointly owned by the central government, the state government, and the sponsor bank.

3. Urban Cooperative Banks (UCBs) - These banks are owned and operated by cooperative societies in urban areas. They provide financial services to their members and are regulated by the RBI and the Registrar of Cooperative Societies.

4. State Cooperative Banks (SCBs) - These banks are owned and operated by state governments and provide financial services to the agricultural sector and rural areas. They are regulated by the RBI and the State Cooperative Societies Act.

5. Non-Banking Financial Companies (NBFCs) - These are companies that provide financial services but do not hold a banking license. They are regulated by the RBI and offer services such as loans, leasing, hire purchase, and investment advisory services.

In conclusion, non-scheduled banks play an important role in providing financial services to rural and urban areas in India. They offer a range of services, from credit to investment advisory services, and are regulated by the RBI and other government bodies to ensure their stability and soundness.