Lots of procedural knowledge. Robotics is lagging behind deep learning advances, and it's unclear when robots would be cheaper than human labor in those areas. How expensive would a robot plumber be? Also skills that are valued when humans perform them.
Is this a real thing? I just bought an ice cream roulade cake the other day and was surprised to see in large print that it was "hand-rolled"; I couldn't for the love of god understand why that should be considered a good thing.
I was thinking more of fields where enough people would rather pay to watch a human perform, serve them, teach or provide care. Despite superhuman computer chess play, human chess remains popular. The same would remain true for most sports, lots of music and acting, higher end restaurants and bars, the doctor or dentist you know, etc. Sometimes you prefer to interact with a human, or watch the human drama play out on screen.
I can also imagine that wanting to speak to a human manager will remain true for a long time when people get fed up with the automated service not working to their liking, or just want to complain to a flesh and blood someone who can get irritated.
A fully automated society won't change the fact that we are social animals, and the places that pffer human work when it's desired will be at a premium, because they can afford it.
