There's a variation known as "Chess with Different Armies" which includes an army with an Amazon (aka Knight-Queen).
EDIT: Found it. The "different armies", but I don't see the amazon among them.. Hmm, perhaps someone could construct an army approximately equal in strength to an FIDE army, by weakening the roiok and bishops to compensate for the much stronger Queen.
queen = knight-queen
rook = short rook (can only move 5 spaces at a time)
bishop = short bishop (also limited to 5 spaces at a time)
knight = knight
Anyways, the link for "Chess With Different Armies", which includes one team with heavy color-weakness, one with the odd property that the pieces move differently forward than backwards (which means they are less effective in retreating than attacking, and that many moves are irreversible), and one heavily rook-influenced team.