BA's fleet of 737-200 advanced all had dual channel autopilots that gave Cat3A (50ft/200m) autoland capability and had autothrust.
Worked pretty well, had to engage the second channel by 800ft latest.
No roll-out capability.
Used in anger several times, including an auto-flown go-around from 50ft witth nothing seen at Dusseldorf back in about 1990, and it didn't touchdown during the go-around, which was to be expected on occasion.
After the B747-400 the B737-200 was my favourite aircraft to fly, inffact it may even just pip the -400.