A game idea for comment:
Instead of pieces giving the ability to move, as in Relay Chess, have
pieces take away movement ability. For this example we will assume a game
with FIDE pieces plus Chancellor(RN) and Cardinal(BN):
Kings and pawns are unaffected, neither losing nor taking away movement
powers.
A piece may not make a Rook move if it is attacked/defended by another
piece using that piece's Rook move.
A piece may not make a Bishop move if it attacked/defended by another
piece using that piece's Bishop move.
A piece may not make a Knight move if it attacked/defended by another
piece using that piece's Knight move.
Attack and defense are calculated non-recursively. Thus if there are Rooks
on b3 and b4, they are immobile--the immobility of R(b4) does not make it
not attack/defend R(b3) and allow R(b3) to move.
Attack and defense are calculated without regard to check. In the example
above, R(b3) still can't move even if R(b4) is pinned.
The obvious variants are applying anti-relay rules only to attack or only
to defense.