[roasm]

My daughter invented one version with regenerating pawns. I play regular chess on my side, and on her side, she has the king, queen, and 8 pawns. On her turn, she can choose to move a piece as normal or put a pawn on any square on her half, but only if she's had a pawn captured (so off the board).

It creates a strange desire for her to get her pawns captured so she can plop it down somewhere else, and a strange desire for me not to capture any pawns.

[thom]

Sounds like you might enjoy teaming up in bughouse!

https://en.wikipedia.org/wiki/Bughouse_chess

[e12e]

You might enjoy Japanese chess: "shogi"

https://en.m.wikipedia.org/wiki/Shogi