Does anyone ever have reported the *amphibian* (specially the anuran)
diversity evolution after K-T bondary?
Sort of.
David Marjanovic & Michel Laurin (2007): Fossils, molecules, divergence
times, and the origin of lissamphibians, Systematic Biology 56(3): 369 --
388
Though you have to extract the information from our figures, and there isn't
much information in the first place, because the fossil record is not
terribly dense. Many clades have no known fossil record at all, e. g. the
poison-dart frogs or the megophryids
http://en.wikipedia.org/wiki/Megophryidae.