In my house, the light switches are the regular flip-switches and I realized that, as small as it is, a torque is what makes it turn. The rotation point is inside the wall behind the plate, the lever arm is the protruding switch, and the force is provided by the finger that is flipping the switch.
Another regular task that reminded me of torques is, interestingly, flushing the toilet. The handle is the lever arm and the rotation point is the part that connects to the toilet. Again, you provide the force.
In fact, all the mechanical levers I can think of involve torques to operate. Can a person's limbs and joints also involve torques? Like the knee or elbow? I think it's amazing how many instances I can think of where torques were applied.