Until those principles have been modified, you have no idea what a utopia is and would look like. This has never, ever, been the case, not in any society you can think of. You might think you live in some super nice societies but you have never escaped those principles.
Utopia isn't about making people not have toothaches or whatever anymore. That's not the point. Utopia is about letting people live in a manner that they would want, not in the manner, currently, prescribed by the law of the powerful and the powerless.
But if you really think that if suddenly your problems being solved, you'd find nothing to do, you are not thinking hard enough, and you are already too wrapped up in the thinking of having things other people don't have. It's a mindset problem of people born into a world working on that principle and it's a hard one to rewrite.