What you should ask yourself is who wins and who loses in a society in which everything that can be automated is.
"People skills", stuff you wouldn't want from a machine, like a massage from your chatty massage therapist, would become more valuable.
"Winner-take-all information skills", like the ability to plan and design, would benefit a few very wealthy "rock stars" in the industry but leave out rank-and-file designers. I'm thinking franchising: you only need 1 brilliant designer to design a couple dozen McDonaldses then replicate that design a million times thanks to cheap information flow, cheap training materials, etc.
Teachers ... colleges are headed for a crash. The first automated degree program that consistently and reputably turns out good students and all the Danegeld Higher Education flogs from the masses will stay in peoples' pockets.
People with versatile skills who can take components from the marketplace and assemble them into a workable business plan will prosper. An entrepreneur can get started for a couple hundred bucks, a beat up car, and a solid business plan for a vast number of things he couldn't before. Start a news service? Pocket change. Design a computer component? Pocket change. Innovators never had it so good. Competition for obvious things, like the aforementioned news service, will be crushing, so innovators will need to find niches, but then that's what they're good at.
Creative arts people, like writers and musicians, aren't going to be replaced by machines any time soon. But more "ambidextrous-brained" people who would've been designing restaurants will be competing for the abstract market where machines can't replace them, so I'm going to predict more competition will make it tougher. Plus the barriers to entry are gone -- anyone can record a professional-quality song or make a movie these days for chump change.
Scientists, engineers, and software developers will always be needed. Engineers may find themselves suffering from the power-relationship or "rock star problem" of the systems-designer types I mentioned earlier. Time will tell.
Medical ... oh, if only they had AI doctors. Health care crisis SOLVED, and the medical field would become a scientific endeavor rather than a service industry. The title "doctor" would mean "scientist" or you wouldn't have a job. Health care dollars could be spent on research instead of treatment.
And coming full-circle to "people skills", getting a human will become a mark of luxury or wealth. Robo-doctors for the masses, human doctors for the rich. But better a robo-doc than no doc at all ...
But I'm no futurist, so I'm sure someone has thought this through better than I have.