After visit dozens of pages searching a "non-sockets-or-iphone-conceptual-example" of Adapter Pattern, I have found this one:
Lloyds bank is an international bank offers services worldwide. For offshore account holders, the tax rate is 0.03%. And, in India it offers two types of accounts, Standard and Platinum. Tax rules are not applied to indian bank accounts. Now the offshore bank is incompatible to Indian account types. We need to design an AccountAdapter to make both the incompatible account types to work together.
So Can this example enough to accomplish the concepts of object adapter, adaptee and client?