Archaeologists have begun to search for the remains of Henry Ist. Unlike Richard IIIrd we know that Henry I was buried somewhere in Reading Abbey. The problem lies is that during the reign of Henry the VIIIth, that he dissolved the monstaries. Also later development may have scattered the bones of Henry Ist, thus the search begins.
http://www.telegraph.co.uk/news/2016/06/12/archaeologists-begin-hunt-for-remains-of-henry-i/