There are a few anomalous millisecond pulsars that are older than the universe. The orthodox explanation is the pulsar age calculations are flawed. The heretical explanation is the age of the universe calculations are flawed.
One thing I've heard is quasars show the red-shift phenomena may not be as good of an indicator of universe age as we'd thought. The red shift, I believe, is one of our primary evidences for a big bang.
