Michael, I see many pieces in this game with notation like (W or F), (R or F), (W or B), Q - meaning they can attack all eight adjacent squares. I am inclined to cut this collection down to only five pieces: [1] N+W+F = Centaur, [2] B+W = Dragon Horse, [3] R+F = Dragon King, [4] R+B = Queen, [5] W+F+Pao+Vao = (new) Lioness. The first three pieces have long histories, covered in the Piececlopedia under the names used here. Your (old) Lioness combines [4] and [5], resulting in a piece that is just too strong for my taste. And I really think that the N+W+F (Champion in your game) should not be made any stronger - you list a bunch of other pieces that can make every move this piece can - to use your names: Admiral, Centaur, Chancellor, Explorer, General, and also the Basilisk.
Fergus Duniho's excellent variant 'Grand Cavalier Chess' gives each side a royal N+W+F, six more pieces that include the Knight's move, eight Cavaliers (Chinese Knights), plus a Queen and two Chinese Cannons. It bends the 'rules' of proper game design and gets away with it. But even this variant only has one N+W+F moving piece.
Fergus Duniho's excellent variant 'Grand Cavalier Chess' gives each side a royal N+W+F, six more pieces that include the Knight's move, eight Cavaliers (Chinese Knights), plus a Queen and two Chinese Cannons. It bends the 'rules' of proper game design and gets away with it. But even this variant only has one N+W+F moving piece.