Evo, that Wikipedia article you cited is very helpful! We should have referred to it first thing, when the O.P. asked what banks do.
Evo said:
Let me quote at greater length:
==quote Wikipedia on Banks==
A banker or bank is a financial institution whose primary activity is to act as a payment agent for customers and to
borrow and lend money.
The first modern bank was founded in Italy in Genoa in 1406, its name was Banco di San Giorgio (Bank of St. George).
Many other financial activities were added over time. For example banks are important players in financial markets and offer financial services such as investment funds. In some countries such as Germany, banks are the primary owners of industrial corporations while in other countries such as the United States banks are prohibited from owning non-financial companies. In Japan, banks are usually the nexus of cross share holding entity known as zaibatsu. In France "Bancassurance" is highly present, as most banks offer insurance services (and now real estate services) to their clients.
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Traditional banking activities
Banks act as payment agents by conducting checking or current accounts for customers, paying cheques drawn by customers on the bank, and collecting cheques deposited to customers' current accounts. Banks also enable customer payments via other payment methods such as telegraphic transfer, EFTPOS, and ATM.
Banks borrow money by accepting funds deposited on current account, accepting term deposits and by issuing debt securities such as banknotes and bonds. Banks lend money by making advances to customers on current account, by making installment loans, and by investing in marketable debt securities and other forms of money lending.
Banks provide almost all payment services, and a bank account is considered indispensable by most businesses, individuals and governments. Non-banks that provide payment services such as remittance companies are not normally considered an adequate substitute for having a bank account.
Banks borrow most funds from households and non-financial businesses, and lend most funds to households and non-financial businesses, but non-bank lenders provide a significant and in many cases adequate substitute for bank loans, and money market funds, cash management trusts and other non-bank financial institutions in many cases provide an adequate substitute to banks for lending savings to.
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==endquote Wikipedia==
I think the gist here, relevant to the current credit crunch and possible depression, is that by definition a bank is a
type of financial institution. And in our society it is probably the main type of financial institution* that is involved in
lending and borrowing.
Banks also provide payment services, as the article says, but their traditional role in the credit market---their activity as lenders and borrowers---is the main way they affect the money supply. This, I guess, is why the banks play such an important role in society, and why their collective behavior has such a strong effect on economic conditions (employment, economic growth, etc.)
*not counting the government.

It does a fair amount of lending and borrowing too!