Is there a board game outside xiangqi with a piece like the cannon?
These answers restate the rules implemented by our open-source engine, which follows the WXF laws for movement, checkmate and both repetition rulings: a side that forces a repetition by perpetual check or perpetual chase loses rather than drawing. The chase half has not been validated against the official casebook. Where an answer refers to a specific position, that position lives on the linked reference page, where the build verifies it before publishing.
Direct answer
Korean janggi has the only genuinely close relative, its own cannon (포) that also captures by jumping a screen. It is not identical: janggi's cannon needs a screen even to move, and it cannot jump or capture another cannon, restrictions xiangqi's cannon simply does not have. Outside that one relative, standard western chess has nothing comparable at all.
Why the mechanism is so rare
A piece that needs another piece in between before it can capture is an unusual design choice, and almost nothing in the broader chess family does it. In chaturanga, shatranj, shogi and standard western chess, the only piece that captures differently from how it moves is the pawn, which captures diagonally in chess and its older relatives, and no piece needs a screen. Xiangqi's cannon, and janggi's more restricted version, are the exceptions.
What makes xiangqi's version distinct even from janggi's
Because xiangqi's cannon moves freely along any clear line but only captures across exactly one screen, it can create threats that appear and disappear as unrelated pieces move around it. Janggi's added restrictions make its cannon a somewhat tamer, more predictable piece by comparison.
Related questions
Does any single-player puzzle game use a similar jump-capture idea?
Draughts-style forced jumps look superficially similar but work on an entirely different principle, there the jump removes the piece jumped over, rather than requiring it as a screen to capture something beyond it.
Is the cannon unique to xiangqi's country of origin?
It appears to be a Chinese innovation, entering the game's piece set later than the other six, and it travelled to Korea along with the rest of the game.