JD falls asleep in my lap every evening. Since he falls off if I try to sit at the computer and work, I've taken to popping in a DVD, sitting on the couch with him instead, and going with the flow. He seems to like shoot-em-up scenes or pyrotechnics the best--anything that shows things being destroyed and getting blown up or smashed. When the movie goes on to quieter scenes, he goes back to sleep.
JD covers up his inner demon with a thin veneer of civilized behavior; but deep down, he really likes mayhem and destruction.