Exit (1983)

"In this fast-playing strategy game, shuttle your pieces around the maze-like gameboard and slide them out of the Exit Chutes by a mere tilting of the gameboard. A toss of the die determines just how many tilts you make, but you, alone, must decide which gameboard side to tilt...and that takes a lot of plotting and planning." The object is the be the first player to get all 6 of your playing pieces pattern-side-up on the gameboard or exit the single, black playing piece.