So, now we all know that Richard III's body lay at peace beneath the Chancel of Greyfriars' Church in Leicester for over 520 years.  His bones were not thrown into the River Soar.  Finally, it was the Ricardians, his loyal if eccentric followers, who had his bones exposed to the world, not his political enemies, nor religious reformers, nor tarmac contractors.
Channel 4 told the story.  If it's meat rather than bones you want, then the University of Leicester website will tell you far more than Channel 4 did.
Genetics and forensics are amazing science.  But the people I think ought  to have shared some applause with them are the genealogists (and of course the archivists and others supporting them).  They did what we always tell family historians not to do - because it is too difficult, uncertain, and potentially disappointing - to trace a line forwards rather than backwards in time.  If you have already decided that you are descended from a King or notorious namesake, it is best to forget it while you do your research.  Generation by generation, testing the evidence at every step.  Will it take your weight? Never mind that of the glorious ancestor you hope to reach.  Most probably you never will.
But in this case it was essential to follow the Mitochondrial DNA from mother to daughter to granddaughter and so on.  Anne of York and her brother Richard the King shared their mother's mitochondrial DNA. It changes only slowly over many generations, so 17 generations later the pattern is comparable.
That this worked is a testimony to the accurate work of the genealogical team.  There must have been many abandoned lines through premature death and lost evidence, but they found at least two living targets for mitochondrial DNA analysis.  I call that an impressive achievement.
Now we await the search for a Y-chromosome donor!