Hi Alan,
I didn't want to throw too many variables out at once, but a few more thoughts now. Once again, some of these are specific to surface drive.
1) Strut or stinger position. In general, lower down will cause more roll.
2) Shaft angle (surface or submerged) steeper downward angle (down towards the prop), will generally increase roll.
3) Prop type has a fairly big impact. Generally, lifting props will make things worse.
4) In transom mounted rudders, a rudder which is offset to the right, will help to counteract torque roll (due to lift from the rudder). The greater the offset, the more it will lift the right side (and the more it will impact ability to turn left). Size, shape, and rudder angle of attack also have a bearing.
5) As "boatmadman" said, driveline offset can also help - so that the lift from the prop/strut/stinger is slightly offset to the right; helping to counteract the torque. Not always easy to retro fit though.
Generally speaking, and fairly logically, the less of the boat is in the water, the more susceptible it becomes to torque roll. If the boat needs inner tabs to correct straight line ride attitude, that can make things worse. As the tabs push the transom up, and the nose down, you lose the supporting water at the transom end, and the bow becomes a pivot - tightening the turn.