I don't think we have past full employment. We are not even close to it, at all. I'll give you several entirely random but real examples. The street here needs new paving. There is no public transport in our town and no taxi after 6PM (need drivers and support staff). I need someone to fix my roof, and it's hard to find good one. There is a need of better trains, better cars, better software, better technologies, more original movies, better restaurants... And someone to check my teeth more frequently (zero good dentists in town). I have tons of work in my backyard as well. There are loads and loads of work to do, and it's all work which can't be automated. Work is not something that will ever finish unless of course we want to stop progress.
And yet we have tens of thousands of people bloating up government at all levels with what are essentially "make-work" jobs. Likewise for universities and colleges which are bloated with administrators and other non-essential staff. Our economy is absolutely filled with redundancy for the simple reason that people need to work in order to pay the bills.
