The one I like is the example provided by the woodpecker. As I recall, it goes something like this. The woodpecker has 3 features which enable its feeding: the long stout beak, the shock-absorbing skull, and the extremely long tongue that wraps around the back of its skull. Take away any one of the 3, and the whole feeding process is destroyed.
So, did the woodpecker evolve all 3 at the same time? What are the chances? Which came last, the tongue, the beak, or (the "logical" choice) the shock-absorbing skull? Once all 3 pieces were in place, how and when did it evolve the instinct to feed the way it does?
I've no doubt the Evolutionist Church has the solution to this apparent puzzle.