Star Trek: The Enterprise^4 Encounter (1985)

Captain Kirk, and the crew of the Enterprise, are sent on a mission to re-establish contact with Trelane, the Squire of Gothos. Trelane captures them and forces them to play a diabolical game.

Trelane creates four Enterprises (one for each player) and places a few crew members on each. The remaining crew are scattered, marooned on worlds from their past. Sensors on each of the four Enterprises sense each other as Klingon battle cruisers. Each player must scour the galaxy and find a full crew compliment by gaining all six crew specialties and locking them down.

Once a player has locked down Command, Science, Medical, Navigation, Communication, and Security positions, he wins the game.