Gonna require a lifestyle change for most. I suspect it's easier in rural areas. If you find the right people you can pay rent in cash. You can own property with some mix of property management firm & Wyoming based trust, with ownership concealed by a lawfirm. Loan capital to firm (denominated in bitcoin...?) so that it's always in debt to you. Work under the table for cash or bitcoin. The more you use their system the more dangerous the game though. Just staying off the books as much as possible is probably best. Avoid conspicuous consumption. They aren't God.
Discussion
Karl Hess was very well off even though the govt had a permanent lien on everything he might ever try to acquire in his own name. But he still owned a lot through other people.
A lot can be done with the help of good friends & family (particularly those no longer paying into the system) & trusts & an llc or 2.
Just the normal p2p things. There's no reason to use the middlemen for things outside of the city.
Depends on scale & what you're trying to do
Moving to another country is a good option too, especially to have a "fresh start" (most countries ignore/don't care what you do elsewhere if you maintain a low profile).
Imo the best option is to be an "eternal tourist", hopping from country to country and never becoming a tax resident (this is not feasible for most people though).