  Higher dimensional, direct analogues of the usual d=4 Einstein--Yang-Mills
(EYM) systems are studied. These consist of the gravitational and Yang-Mills
hierarchies in d=4p dimensional spacetimes, both consisting of 2p-form
curvature terms only. Regular and black hole solutions are constructed in
$2p+2\le d \le 4p$, in which dimensions the total mass-energy is finite,
generalising the familiar Bartnik-McKinnon solutions in EYM theory for p=1. In
d=4p, this similarity is complete. In the special case of d=2p+1, just beyond
the finite energy range of d, exact solutions in closed form are found.
Finally, d=2p+1 purely gravitational systems, whose solutions generalise the
static d=3 BTZ solutions, are discussed.
