Trek Prime
Trek Prime is a proposed Star Trek themed RPG which would take place within the Military Operations Command division of Starfleet, where the characters are members of a Prime Team stationed on a ship in a dangerous area of space.
The Premise
Ships which carry complements of Marines may also carry Prime Teams, which are special operations forces within Starfleet Marines. These teams are made up of highly trained and motivated individuals who are all at least minimally qualified for duty in any area of the ship, as well as being highly functional marines. Given their martial and technical prowess, Prime Teams are uniquely qualified for combat, diplomatic and undercover missions of all types.
The game would be very mission based at its core, but between the missions there would be plenty of time for recreation and interaction with other ships crew. These segues could be valuable roleplaying opportunities and could lead to extended arcs or unexpected stories. This could be a welcome challenge to create more in character interactions.
The Characters
Characters would be Prime Team members, but could have any number of different specialties.
The System
For this iteration Fate or Hero seems most appropriate, though GURPS Prime Directive is made specifically for playing Prime Teams, so that should also be in the mix.