Step 1: Select "My Cases" from the Filters menu
Step 2: In the Filter strip, click on your name and select "Anybody" from the drop-down
Step 3: In the Filter strip, on the second line, click on "sorted by Project" and change it to "sorted by Assigned To"
Step 4: In the Filter strip, click the outline button, and change it to the Flat grid view
Step 5: In the filter Strip, click on Select Columns on the right side of the strip, and add Due
This should give you the case list you are looking for. There are lots of ways it can be customized, and reported on, but this will get you at least what you need.