Keep in mind that as far back as the 737-300, fbw was capable, to an extent. When this A/C was operated with the autopilot, in cws(control wheel steering) mode, the A/C was steered using a sensor mounted below the cockpit floor. The crew would put an input to the yoke,and the sensor would detect it. I dont remember what it is called, but it used a digital link to communicate with the FCCs (flight control computers). The fcc would compute the data and send a signal to the autopilot actuators and move the appropriate control surfaces.
In modern terms though, it was not a fbw aircraft, either is the new 737 though. They have what is known as fadec, for the engines, but not fbw. I dont think the 767 series is either, but we dont work on those--sorry..