My Tasks should display all tasks that are assigned to you, regardless of whether or nor they’re part of projects. Once they’ve appeared in the New Tasks section at the top, you then allocate them to either Today, Upcoming or Later. Tasks will automatically be promoted through the sections based on their due dates, but you can also move tasks around depending on how you want to organise it; for example, I keep all tasks that are due in the next month in Upcoming.
The quickest way to send tasks to those sections is to use the keyboard shortcuts:
Tab + Y = Today
Tab + U = Upcoming
Tab + L = Later
You could also check to make sure My Tasks isn’t sorted by any criteria. If you want to just see the 3 standard sections, click on the settings and make sure it looks like this:
If you’re still having problems, could you please post a screenshot of your My Tasks?