There's really no such thing as upper-class jobs; upper class is pretty much defined by not needing a job - the capitalists, landlords, CEO, investors and "heirs"; unlike the upper end of middle class which consists of professionals like lawyers, doctors and (recently) software developers which may have high incomes but aren't upper class because they do need to continuously work for that.
There are jobs that are predominatly held by people in the upper class, but being in the upper class (haut bourgeoisie) means that those jobs are not the significant way they engage with the economy.
Okay, things like 'museum curator' or 'charity foundation board member' come to mind, all kinds of positions that are high status but often don't even involve any serious pay and thus are generally taken by independently wealthy. Those jobs won't be automated even if they can be automated, these people will ensure that they stay the way they are.
