  Hidden symmetries of the Goryachev-Chaplygin and Kovalevskaya gyrostats
spacetimes, as well as the Brdi\v{c}ka-Eardley-Nappi-Witten pp-waves are
studied. We find out that these spacetimes possess higher rank
St\"ackel-Killing tensors and that in the case of the pp-wave spacetimes the
symmetry group of the St\"ackel-Killing tensors is the well-known Newton-Hooke
group.
