When did all creation start to die?
I was joking. I agree with you.
As far as when creatures started to die, I have a radical theory that I don't share with anyone for fear of being stoned. However, one should noticed that in order for God to have told Adam that "In the day you eat the fruit, you shall surely die.", Adam must have know what "dying" meant. Eve, not plopping over when she took a bite (at least not at that moment), probably encouraged Adam to take a bite. (this is all another story)
I believe it is possible that animals and vegetation "dying" could have went on for hundreds, if not thousand of year prior to the fall. The only one immune to this process was Adam and Eve. I don't get into creation discussions because there is no biblical evidence and people tend to be very defensive of their positions. Mine is pure speculation so don't stone me.