1. Distracted Driving (including texting)
2. Speeding
3. Drunk Driving
4. Reckless Driving
5. Rain
6. Running Red Lights
7. Running Stop Signs
8. Teenage Drivers
9. Night Driving
10. Design Defects
11. Unsafe Lane Changes
12. Wrong-Way Driving
13. Improper Turns
14. Tailgating
15. Driving Under the Influence of Drugs
16. Ice
17. Snow
18. Road Rage
19. Potholes
20. Drowsy Driving
21. Tire Blowouts
22. Fog
23. Deadly Curves
24. Animal Crossings
25. Street Racing
Honorable Mention
High Winds
Loose Objects in Cars
Police Car Chases
Of these 1,2,3,4,6,7,8,11,12,13,14,15,18,20 are human error and pretty much get eliminated.
The weather related items would remain, as well as potholes and tire blow-outs. But an automated driver would probably handle them more consistently and more safely than a human. That's 5,9,16,17,19,21,22.
That leaves design defects (These would presumably increase, since you have both hardware and software design defects to consider now.
Deadly curves (which an automated car would probably handle better than a human).
And animal crossings, which no doubt will still cause accidents, but an automated driver would always be alert for animals, and would react in a more consistent way.
This only accounts for the accidents which did happen, not the ones I avoided. (Think about that for a while!)
For instance, I swerved to avoid relatively flat obstructions in the road 3 times this week. Any one of them could have caused tire damage resulting in later tire failure. So for a driver who does not avoid rolling over small pointy objects in the street the incidence of tire failure will be higher than it is today.