I want to be able to leave things in my car and not have to take them out or replace them each time I drive. My sunglasses, the car seat, old-fashioned maps. Maybe I'd like to be able to leave my potato chip wrappers in there without worrying about it, or maybe I'd like to own something where I'm guaranteed others haven't left their potato chip wrappers behind.
Cleanliness. Who else has been in this thing? Did they leave lice behind? Did they jam the window so that when I use the car, there's an annoying breeze?
Style. My car says something about me. Maybe I want rims, or to paint it with flames, or maybe just pink. What about that stereo system?
Status. My car is mine and I can afford it. Like watches, nice clothes, or big houses, it's something people desire.
Practicality. If I don't live in a city, how long is it going to take a rental car to get to me? Why not own one that sits in my driveway, so I don't have to wait for it?
There are plenty of great reasons to want to own a self driving vehicle, instead of renting them.