Slavery still exists. It's called Debt slavery. You also can avoid police services by having private security or even a bodyguard. Actually living without a state would be good as all the taxes and licenses would be removed. You personally would probably end up spending more on security if the state was removed. I think the government is really bigger than ever because of fiat currency. It will be forced to shrink once the debt overwhelms the system.
RE: Abolish Slavery!?!? Don't Be Crazy! (How to Short Circuit a Common Statist Defense of Government)