I know a really hard one: Tour of the bishop. It's a piece that moves analogously to the knight, but like a bishop and not like a knight. lol
But seriously, the only one I have heard of is tour of the knight. I don't think there are any more.
Chess Tour Variations
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There are so many chess tour variations out there as for examples:
A knight's tour of a chessboard (or any other grid), more properly called a knight's path, is a sequence of moves by a knight chess piece (which may only make moves which simultaneously shift one square along one axis and two along the other) such that each square of the board is visited exactly once. If the final position of such a path is a knight's move away from the initial position of the knight, the path is called re-entrant or closed
A zebra's tour is a tour on a chessboard by a hypothetical chess piece called a "zebra" which moves analogously to a knight except that it is restricted to moves that change by two squares along one axis of the board and three squares along the other.
A fiveleaper's tour is a tour on a chessboard by a hypothetical chess piece called a "fiveleaper" which moves analogously to a knight except that it is restricted to moves that change by three squares along one axis of the board and four squares along the other or by five squares along one axis. The fiveleaper gets its name from the fact that its entire move has a length of 5 squares. It is similar to the hypothetical chess piece called an "antelope," but it can make an antelope's move or a rook's move of exactly 5 squares.
An antelope's tour is a tour on a chessboard by a hypothetical chess piece called an "antelope" which moves analogously to a knight except that it is restricted to moves that change by three squares along one axis of the board and four squares along the other.
A giraffe's tour is a tour on a chessboard by a hypothetical chess piece called a "giraffe" (a.k.a. -leaper) which moves analogously to a knight except that it is restricted to moves that change by one square along one axis of the board and four squares along the other.
A camel's tour is a tour on a chessboard by a hypothetical chess piece called a "camel" which moves analogously to a knight except that it is restricted to moves that change by one square along one axis of the board and three squares along the other.
Have I found all of them or are there still more that haven't been discovered?