Apparently it was the Richard III Society who pushed for the archaeological dig of the car park to take place but at the time they felt it would be like looking for a needle in a haystack. However, the skeleton of Richard III was found in the first trench excavated.
Interesting that the evidence appears to show that the body had been more or less dumped in a grave too small for it, and that there was no coffin. This seems at variance with the version cited by Ruskie earlier.