I would dearly love to be able to get to/from work (~30 minute each way commute) without having to waste an hour every day with the non-productive task of driving. It is a huge waste of my time. It potentially solves other problems as well like helping handicapped people, reducing drunk driving, freeing up huge amounts of non-productive time and more.
Thank you, thank you, thank you! You're the first person I've seen pick up on the points of self-driving cars that most people gloss over. I am very blind and, on a good day, might be able to qualify for a daytime-restriction licence. That means that, in the dead of winter, I might have about 6 hours where I can actually be out on the road driving. If I have an 8-hour/day job, that means I have to find other ways to get to work and I have to coordinate running errands/visiting friends with daylight hours. At that point, why would I have a car if I can't really use it for half the year. Why don't I just take a bus! (which I do). Now, while I love public transportation, commute times can be frustrating. I live about 6 miles from work, which requires a car commute of about 15 minutes. However, the bus to travel the same distance can take up to 40 minutes due to many stops (it's a very busy route).
Letting someone else drive is great. I do work on the bus or read a book or whatever. Sometimes though, I am limited in my activities due to crowds (seriously, I can't even open my laptop on my lap sometimes) or noise (try reading when there's a load of screaming kids on the bus). I would LOVE to have a vehicle that could get me to work, without me having to drive it, and would not make 27 stops along the way.
On the productivity point, imagine what this could mean for living situations. So live a 2-hour drive from where you work? So what (other than fuel costs of getting the car there and back)? Instead of spending 4 hours a day driving, think of it as spending 4 hours in a mobile living space. Watch TV! Work on a puzzle! Video chat with people! Surf the web! This technology could really go somewhere (no pun intended).