In reply to Richard - not just resource time. Time that the task should occur is far more important.
Time would be very useful when combined with the repeat scheduling as well as what others have said below - e.g. being able to say "walk my dogs 4pm every day" would be great.
The importance grade is also critical, perhaps with different colours for the different grades.
I disagree with Richard/Kara (but I would like to have negative votes!)
I have lots of things to do, plus some occur at significant times or on significant days. I think that if tasks are moved automatically to today, that would be great, but should only happen to tasks scheduled for today. That should satisfy Richard and Kara, surely?