Body roll is something that every car comes with,in fact you may call it a standard feature on every car from a Tata Nano to Bugatti Veyron
,only difference is of its amount.
Actually center of gravity and suspension of the car,both plays a good role here in case of body role.Just see,if the suspension has long travel and the center of gravity is high,then on the turns that center of gravity will shift to outside(centrifugal force)and hence the suspension from inner side will open up and that on the outer will be pressed and hence tilting the body.
In case the travel of suspension is less than the shift of center of gravity then the car really rolls down and gets overturned..remember seeing overturned Omnis and Safaris too overturn a lot.Why?Both of them have a high center of gravity(Safari has massive weight too)and suspension travel isn't long enough to tackle hard steering inputs.
In case of sport cars,the center of gravity is low and suspension is tight and has quite good travel too and hence they never overturn...
I mean that the body roll is nothing but the tendency of a car to try to overturn on the turns,while suspension tries to prevent it by making the vehicle tilted.