Ping Win (1983)

Each player has 4 penguins. Place your penguins on the board and roll a die to move your penguin. Because of this movement other penguins get closer to the edge of the iceberg. The purpose is to keep your penguins as long as possible on the iceberg. Push other penguins off the ice and win.

From the back of Iceberg box:
The object of the game is to have the only remaining penguin or penguins left on the "iceberg" by pushing opponent's penguins off the "iceberg".
Each player chooses four penguins of the same color and places these on the correctly coloured dots on the playing board. By rolling the die players move either 1, 2 or 3 places to the left or right in order to push other penguins nearer to the edge of the iceberg. or even into the water. A penguin pushed into the water is out of the game. The game is over when only one player's penguin or penguins remain on the "iceberg" and this one remaining player is the winner.

From the back of the Ping Win box:

"The comical penguins have a rare old time playing at pushing each other off the "ice floe". The last player to have a penguin or penguins left on the ice is the winner."