This one has been in the news all over the place for the last three years now. Try google searches on ‘dinosaur’ and ‘soft tissue’.
You could try the same thing. It was determined that the original claims were premature and the organic matter was not original tissue but an algal residue aka slime.
http://blogs.usatoday.com/sciencefair/2008/07/study-t-rex-sof.html
And yet, I would hardly call the occurrence of soft tissue in ancient fossils “regular” as per your original claim.
And as the poster above me has pointed out, it may not even be soft tissue that was found, but bacterial remnants.