The creationists own the fossil record. The Cambrian explosion of life showing fully formed animals is opposite of what Darwinism predicts - See Breeze
The fossil record contains an embarrassment of riches proving common ancestry beyond all doubt. Of particular interest is the many hominid fossils showing the ancestry of modern humans.
The Cambrian 'explosion' is an interesting period in the history of life. We now know that it lasted about 25 million years - that's quite a slow explosion. There is a fantastic series of articles at the Biologos website that answers all the questions a creationist might have in connection with this so-called challenge to evolution.