It appears this is still an issue (as of 3/19/18). I am having the same problem as @Alexander_Singer with the “Jump to Task List” Keyboard short cut (Tab+Enter) not working.
I tried using the shortcut from pretty much every field within Asana to see if it was just a particular section within the Task Details (Right Pane) that wasn’t working.
This is THE shortcut I need the most, and the only one that seems to not be working.
Related to this it would be really nice if there was an option to jump to the next task in the list - especially when in “My Tasks” after you hit after updating a due date/tags/projects or comments using keyboard shortcuts… right now if you change the due date the task is still selected even if the due-date is much farther down the list … making the keyboard shortcuts much less useful when you have to use the mouse to navigate back up to the top of the list to get back to the next task.