OK, engineers and people good with your hands (and heads).
The equipment: Fairly new DVD/Blue Ray player (purchased within the year)
The problem: Vibration and fairly loud noise when disk is engaged (playing, paused, or stopped).
The interesting parts:
It only happens with certain disks.
A given disk is either always silent or always noisy (so it's not that the disk is ill-seated during a given session).
Pressing my fingers on top of the unit reduces the noise greatly (hence I assume it's vibration).
But the fact that it even occurs when the disk is stopped throws me, unless the disk is still spinning but the head is not engaged, but in that case what's the difference between "pause" and "stop"?
Turning the unit off instantly stops the noise (it doesn't "run down").