There are two bills sitting in the California State legislature that could change the future of drones in that state, and probably beyond. These laws, if they pass, would require you to register with the state, have a tiny physical or electronic license plate and have insurance for damage to property and for hurting people too.
The first bill is is just a requirement for a small amount of property and personal insurance should injuries or damage accidentally occurs. It might even eventually evolve as a natural extension of auto insurance, though in this case it's a small policy bought at the point you bought the drone. That bill also requires GPS enabled drones to have an auto shut-off feature enabled that'll shut drones down when they approach airports. A necessary function, unfortunately.
The second bill wants to help curb future hit and run type accidents, with a state registration system similar to what we already have for cars. This would also require pilots to leave their information, much as with a car accident, in a conspicuous place after the fact, or face legal consequences. This should help place more responsibility on the drone pilot themselves.