You might also look at Japanese chess (Shogi) - when you capture a piece, you take it off the board and then can drop it back on the board as your piece as a fu

You might also look at Japanese chess (Shogi) - when you capture a piece, you take it off the board and then can drop it back on the board as your piece as a future move. The pieces are not colored, so you tell who has which piece by their orientation.