Consider the Australia and New Zealand Banking Group (trading on the NYSE as ANZ). This Melbourne, Australia-based company offers a full range of financial services in Australia, New Zealand, and Asia, taking deposits, offering mortgages, car loans, credit cards, overdrafts and term loans, electronic banking, commercial banking, trade finance, and foreign exchange. The company also offers (through wholly-owned subsidiaries) investment products and advice, trusts, insurance, and leasing services.
Like many countries, Australia has a much more concentrated banking market than the U.S. In that market, National Australia Bank (NAB) and Commonwealth Bank of Australia are the largest players, ANZ is about tied with Westpac Banking (WBK) for third place, and then it's a big drop-off to the smaller banks. Originally known as the Bank of Australasia (and I had thought that Morgan Stanley made up that word), the Australia and New Zealand Banking Group goes back to the 1830s, and is among the top 100 banks worldwide.