This may mean that costs for getting people to do unpleasant things for you will rise. Consider it a correction to the fact that median real wages have been falling for years, if you'd like. If - even with your new basic income - you are having a hard time finding someone to work for you, you'll just have to offer more money. This is preferable to forcing people to work for you out of fear of them dying for want of food or healthcare, in my book.
I think you also have a narrow-minded conception of what people can view as fun. I would very much enjoy being a chef, but it doesn't pay as well as my current gig and that's a larger motivator for me in part because of the lack of social net.
Robots and automation will continue to do more and more of the total labor that humans need; this provides a constant check against labor prices rising too much. It seems like we would steer our robotics and AI R&D towards replacing jobs that humans really don't want to do [at the amount you're able to pay them]. What's wrong with that?
Maybe what would disappear is the huge retail / food service chains, in favor of passionately-run local businesses?
Construction already (surprisingly) pays pretty well, so does plumbing, etc etc. More tedious jobs will either be automated (which is far more efficient) or if they absolutely require a human brain, there will be a rise in the cost of that labor until the work is worth the money for enough people.
Money is fungible enough that it can be converted into "doing things [you] enjoy". With a well-designed, subsistence level basic income, you won't have enough money to do things you enjoy (unless your hobbies start and end at eating, having shelter, and sleeping). If you work construction, or plumbing, or any "boring job", you'll make substantially more money than the "basic income", and can spend that money on things you enjoy.
I'm a little skeptical of the idea that this wave of technology must be different from all the ones in the past (which isn't to say it's impossible) and obsolete jobs completely. Programming literacy may simply become the new literacy; Education may very well have to become a longer stage of life, but given lengthening lifespans, it won't necessarily be a drastically higher proportion of one's life than it has been in the past.
Usually 5 or 6 of us gang up and threaten to throw the other one out of his house. Works every time.
Yes it can. Or rather it will. That's the whole point of this basic-income discussion. The source of the problem stems from the fact automation and software is systematically replacing humans in things they don't enjoy.
Which is good, because no one would work construction, or do plumbing, or review building permits for safety in a basement office in city hall for fun either, so there wouldn't be places for these establishments to exist soon anyway.
Society can't function with people only doing things they enjoy.