I learnt today that I really need to pay attention to my first rule of troubleshooting - "Check the physical."
Case in point - I have a stack of HP 6730s laptops on my desk, and only the top one is plugged in and turned on. The BIOS would post, no keystrokes would register, Windows would chime to indicate that it was starting, and the screen would go black. Move the mouse, tap on the keys, add an external keyboard, nothing would wake it up. I'd do something, and suddenly it would wake up - at least one of these wake-ups was me lifting the laptop to move it elsewhere, and putting it back down didn't blank the screen again.
Long story short, someone else came over after I'd been fighting this for a few hours, and got intrigued by it, and lifted the laptop up, moved it around, twisted it etc.
It turned out, that if the stack was perfectly aligned, the bloody magnet it the lid BELOW the open laptop caused the sensor to register that the laptop lid was closed.
*twitch*
I damn near threw those laptops out the window.