You're not kidding hugh! It took me many attempts before I was able to pick up the skull in the cage without being squished by the Bird!
The way it finally worked for me was I out ran Big Bird into the cage and immediately saved my game directly in front of the skull. When I went back in the game I bent down to pick up the Skull and Big Bird walked right over me.
I was then able to flip around and run like the devil back up the hall and into the elevator where I was able to kill the Bird from safety!
I loaded Last Revelation this morning and couldn't resist playing the training level. I am actually able to view the videos in this TR which makes the game a lot more interesting already. Graphics are so much better too!
But man is swinging from a rope hard to do! I couldn't tell when to let go and land on the ledge. I kept falling into the pool and running all the way back up to jump one more time!