One of the American Heritage Command Decision Strategy Games, highly prized by collectors.
This one is the World War II Pacific Campaign game. The players are in a race with each other to reach the "final objective" --the main Japanese HQ. The Japanese defense forces (14 pieces) are obstacles for all players; when defeated, it is redeployed by the player that defeated it and can thus be judiciously used to slow down opponents.
Each player has 6 pieces (2 Marines, 2 infantry, 1 naval landing support ship and 1 strategic air support aircraft). On your turn, you roll the die and move one of your pieces. The support pieces move only on a 6 and are immediately deployed where needed (to support a beach landing). Moving a land piece on top of an opponent's by exact count "relieves" it --sends it back to its start space. There are two beaches of each color that must be cleared and only the player of that color can do it. To do this, both support pieces must first be brought to bear, and then a Marine must reach the defender by exact count. Once cleared, beaches remain clear and can be used by all players.
The mechanics are a variant of the old public domain game of Malefiz or Barricade.