Someone mentioned an updated version of The Outer Limits. I think I remember seeing one episode of it (at least I think it was The Outer Limits). David Ogden Stiers played a man who had a baby cloned from cells found on the Shroud of Turin.
Yep, IMDb confirms that Stiers was in a 1999 episode of The Outer Limits called "The Shroud."
The Outer Limits remake had some awesome episodes (such as "Tribunal", one of the greatest eps ever) and some real stinkers as well.
I didn't care for it overall. It was too committed to its "science is evil" outlook. Every time someone tried to expand human knowledge or innovate beyond what we already had, it was portrayed as a doomed and dangerous exercise that would bring down punishment on any who dared to broaden their minds. It wasn't science fiction, it was anti-science fiction.