Stephan asked about alternatives to the full contact twist. I think that the key thing is that you need to think of movements that will involve some rotation. Too often, movements are forward and backward ( in the sagittal plane) - think the bench press - or side to side (in the frontal/coronal plane) - e.g. the press or squat.
However, in real life, Every muscle and joint in the body functions in three planes of motion simultaneously. If we are goign to be fit for real life then we need to work in those three planes and that will mean introducing some motion in the transerve plane - twisting with a strong core at the centre. ( Gambetta explains much of this stuff here.)
The full contact twist does that, but it is not the only such movement...you can think up your own, but try some woodchop variations:
or with a med ball
or use a hammer and shovel.....
The important thing is to rotate a bit. It is where the power comes from. Think of a punch - the power is in the twist not the sagittal plane.