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In fact, a bishop limited to 3 steps can be found in Taikyoku Shogi (The
monster version) under the name Rikishi (Wrestler). On the other hand, a
piece named Rikishi or Wrestler with different moves occurs in Tai Shogi
and Maka Dai Dai Shogi: Here it is a limited bishop who can move also one
square horizontally. In Ko Shogi, the Rikishi or Wrestler is lion mover. So
sticking to Bishop's Dog for the limited bishop is probably the best
choice.

This also gives me the opportunity to advertise Derzhanski's list again:

 http://www.chessvariants.org/piececlopedia.dir/whos-who-on-8x8.html

The huge advantage of this list that you can actually find pieces when you
know how they move; either
by searching the move notation or by estimating their strength and scanning
the appropriate strength region.