Consider a fairy chess piece which can jump to any square within two king moves, without regard to any obstructing pieces. (However, it cannot stay in one place to avoid zugzwang, you munchkin.) It moves to or captures any of the 24 squares in a 5 by 5 bounding box.
On one hand, with limited range, it is less powerful than a queen. On the other, with its tremendous jumping ability (including knight moves), it is more powerful than a queen. It is a compound of a nonroyal king and a "squirrel".
The piece, the 2-angel, is the winner in Conway's Angel and Devil problem.
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