In the e-scrap context wire is usually plastic coated and cable consists of two or more wires in an outer sheath. Occasional variations include ferrous (in television coaxial cable for instance) or aluminium wires.
Older wire and cable had rubber and fabric insulation. Modern wire and cables are generally plastic coated.
In some countries, including New Zealand, it is illegal to burn any coated wire as a method of recovering the copper since hazardous fumes will be generated.
Wire and cable is able to be recycled and as a bare minimum the conductor is recovered but some the plastic can also be recovered.