Not to screw up their job. That is a low bar.

The only thing I've ever asked one to do outside of that was speak with one of my doctors. In the event, the doctor blew her off, so it didn't happen.

That said, the ones I run into seem to want to do what I would regard as more than their job (hugging, emailing, offering to visit me in the hospital, etc.). These are not things I ask for and I don't think I would.

Eta: so upon reflection, it seems that they think more things are reasonable to ask for than I do.