Well, I highly doubt the physical tasks in health care would disappear anywhere; someone's gotta change the diapers of the elders... and the little ones too actually when their parents are working. I mean, I suppose a robot could do those things, but kids at least would need real people around to learn how to be part of a community, so at the very least, childcare jobs will remain... unless families somehow end up being able to get by with one person salary... but even then, there are always single parents so yeah, child care jobs are still a thing in the future.
...Or wait, are we talking about new kinda jobs that will appear, not old ones that will remain? In that case... um...
People who teach AI? Like, that's probably already somewhat a thing, but in the future, it could end up being a huge, well known field of professionals who teach AI about... stuff. I really don't know much about those things.
Okay, so here's something a bit more original: Fantasy Zoo Planners and the animals in it. There'd be people who'd design new make believe animals; what they'd look like, how they'd behave etc. and then other people would dress as those animals and act like they would according to the design, and people would pay to come see it like in actual zoos today. The therian children of today could get paid for doing this stuff when they grow up! 