I manage tasks in Obsidian using the Tasks plugin. Takes a little extra time to input the tasks so I use it primarily for important activities.

I have sections in my weekly notes to list due and overdue tasks. And I have a "task overview" note that groups tasks according to different filters.

I've started tracking tasks for other people (that I need to follow up) by using their initials as a hashtag, I can then filter these in/out depending on what I need to see.

Works brilliantly for my purposes and I have an easy way of seeing any outstanding tasks