Soon, the only "skilled job" left that robots won't easily be able to replace (or will they?) will be as a prostitute.
I can pretty much guarantee you this will be one of the areas where robots could do an excellent job, far better than any human could. As to whether they will, that remains to be seen, but I must point out that the sex industry is already trying the idea on for size with RealDolls and so forth.
Let's say that we get to excellent automatons and high quality body manufacturing. Not even AI. Given that, we can have a robot sex worker that can focus on you, and only you, and really, really mean it. It can do it for an hour and go on to someone else, or it can do it for your entire lifespan without ever straying -- whatever you like, or can afford. It doesn't care about your other relationships and will treat you as #1 no matter how you stray or experiment. It won't be jealous unless you want it to, and it will participate if that's what you want. It can remain disease-free and safe. It's not going to have a period, be distracted, moody, greedy, angry, or have any kind of a problem if you get a phone call. It won't demand that you recognize its power, or fill your ear with talk of equality or fairness. It will have a repertoire of skills that will dwarf any human's. It isn't going to inevitably age or get ugly, although it could definitely change in any way you want it to -- hair, skin, body type, sex organs, lips, eyes, etc. such that it could be someone (thing) different every day of your life, and it's going to enthusiastically go along with your wildest kinks, only difference being that it will be better at them than you are, all to your benefit. It won't require gifts, child support, get pregnant, or stray. It won't get tired of you, it won't be duplicitous, it won't ever call a lawyer or a friend and violate your trust, it won't require a pre-nup, nag you about marriage, or threaten you with multi thousand dollar wedding dresses and even more expensive weddings. There will be no in-laws, and you will never come home to find a pocket dog with a face like satan, a yip pitched such that it could shatter glass, and a body like a wharf rat on your couch, complete with a brand new puddle of urine on your oriental rug.
The question most here aren't asking is, what does society look like when there simply aren't jobs to do? It doesn't have to be a bad thing. The narrative that "one must work to have dignity and/or happiness" is nonsense pushed into the psyche of the ignorant from above. The no-work situation is coming, no doubt about it: what it will look ilke will depend entirely on what the population can be made to put up with.