[nequo]

> I’m imagining many lists, with a nearly frictionless way to say ‘do this today’, and the task moves accordingly.

I think org-mode does this. You can schedule tasks and get org-mode to compile an agenda for you.

[koheripbal]

The issue with this is that you have to pre-schedule tasks across all lists, which means you need to go through all the lists to schedule every item - often each day.

The better way to do it is to set priorities on TODO header items in org-mode. This is far from perfect through because you're still manually setting priorities across all projects - which is very flawed.