Did modern types of birds live at the same time as the Tyrannosaurus Rex? Yes! Paleontologists have dug up bones from parrots, penguins, owls, flamingos, and many more species in the dinosaur rock layers. These organisms have not changed or evolved, and are considered stasis (non-change).
The fossil record presents the opposite of what one would expect if evolution were true. God created all creatures during the Creation week as we read in Genesis. He created each creature “according to its kind”. That is why we find fossilized creatures looking like modern creatures all throughout the fossil record.
(Source: Inspired Evidence – Carl Werner, Evolution the Grand Experiment vol.2 Living Fossils, 2008 pp.57-70)