Kalah
The one most people mean when they say mancala: six houses of four a side, a
store each, sow again when you land at home. It is a modern game rather than an ancient one, invented and sold in the twentieth century by William Julius
Champion, Jr., and it is the default here because it is the version players
already know, and the one the tutorial teaches.
Oware
The Akan game, under Abapa tournament rules. The stores are only score trays,
and no seeds are ever sown into them. You harvest by landing on a house that
reaches two or three seeds and chaining backwards, you must feed a starving
opponent if you can, and a move that would take everything they own takes
nothing instead.
Congkak
The Malay game, on seven houses of seven. Its main feature is the relay: land
your last seed in an occupied house and you pick that whole house up and keep going,
on either side of the board, until you finally land somewhere empty. Turns run
long and the board empties fast.