Who ever came up with the Grim Reaper?
I do not know specifically, but pale horseman of the book of Revelation, could be a good start. On the bigger issue, the christian church has of course done all it can to promote the fear of death. If your big sell is that of immortality, then everything you can do to prop up and exaggerate that fear, is bound to seem good, even if it means creating a cartoon horror figure. The classical worlds. "Why fear death, since I shall not be there to feel it." Had to become the world of the 'god/death fearing christian'. Hence we now live in a world where the final mercy that vets can offer to their animal patients, is denied to humans however great their suffering.