Shifti (1977)

Shifti is similar to the game Shuttles, but four people can play. Players roll dice with stars and pips, and can move pieces when pips show up, and can shift the playing field when stars show up. If stars show up on both dice, your turn is over. To complicate matters, you can only move on black squares. First to get all four pieces kitty corner across the board wins, like in Pachisi.