From time to time I come up with ideas that are interesting but I can't advocate because they have overly negative consequences in other areas, like privacy. Nonetheless, they are worth talking about because we might find better ways to do them.
There is some controversy today over whether driving while talking on a cell phone is dangerous, and should be banned, or restricted to handsfree mode. It occurs to me that the data to answer that question is out there. Most cars today have a computer, and it records things like the time that airbags deploy, or even in some cases when you suddenly dropped in speed. (If not, it certainly could.) Your cell phone, and your cell company know when you're on the phone. Your phone knows if you are using the handsfree, though the company doesn't. Your phone and cell company also know (but usually don't record) when you're driving and suddenly stop moving for an extended period.
In other words, something with access to all that data (and a time delta for the car's clock) could quickly answer the question of what cell phone behaviours are more likely to cause accidents. It would get a few errors (such as if the driver borrows their passenger's phone) but would be remarkably comprehensive in providing an answer.
But to gather this data involves way too many scary things. We don't really want our cars or phone companies recording data which can be used against us. They could record things like if we speed, and where we go that we don't want others to know about, and who we're talking to at the time, and much more.
In our quest for learning from private data, we have often sought anonymization technologies that can somehow collect the data and disassociate it from the source. That turns out to be very hard to do, often near impossible, and the infrastructure built for this sort of collection can almost always be trivially repurposed for non-anonymous use; now all that is needed is to flick a switch.
Now I do expect that soon we will see, after a serious car accident, attempts to get at this data on a case by case basis. The insurance companies will ask for cell phone records at the time of the accident, or data from the phone itself. We're already going to lose that privacy once there is an accident, thought at least case by case invasions don't scale. Messy problem.