Murray History of Board Games Other than Chess uses the phrase Indian War Games for games from India and adjacent islands played with moves and capture like Alquerque.
Indian War-games have one important thing in common, and that is that all the pieces are laid out on the grid patterned board, with only one vacant point in the center. This forces the first move to be played on the central point, and captured by the other player's piece. The goal is to capture all of the opponent's pieces, or be the one with more pieces when no more pieces can be taken by either player, or stalemate the other opponent's pieces such that they are immobilized.
Let's generalize this notion by adding word "type" making the family name Indian Type War Games.
The "Indian" Type War Games family includes all games:
(1) Played on grid with a setup that has just one empty space on set-up.
(2) All players pieces are the same.
(3) Pieces move along lines of grid on board.
(4) Play uses short leap capture.
(5) Goal of capturing or stalemating opponent.
Condition (3) avoids a player having "kings" and "men" and a lot of extra rules about how "kings" would move and capture.