Paulowich's Midgard Chess, Jumping Knights Chess, and Rose Chess XII has a piece called the War Machine, which leaps (0,1) or (0,3).
Ganymede Chess has a piece called the Frog, which leaps (0,1), (1,1), or (0.3). It also has a "Cardinal", not the conventional BN, but rather a Bishop+(0,1)+(0,3), as well as a "Fort", a Rook+(1,1)+(3,3).