riddle - From nine to thirty-two, who are the members of this list?

Ordered from nine to thirty-two,
Your job now's to find out who:
Who are the members of this list?
Try again if your guess you missed.

Sixteen, twenty, twenty-five, thirty-five
Didn't leave their posts alive.
Nor did twelve or twenty-nine,
But their ends were far more fine.

Thirty-seven fell from grace,

The only one to leave his place.
Now play your cards well,
And us all the answer tell.