How do you open a wire transfer-enabled bank account?

A wire transfer is a service that is offered by your bank. Depending on where in the world you may be, you would typically open a regular account (checking/current, etc.) and ask your bank if wire transfer services are available.

Even for some countries, the term wire-transfer is too broad. It may imply local transfers, SWIFT, SEPA, FedWire, etc. so be sure to ask for an explanation of what sort of wire-transfer services are being provided for.