Star Trek: Infinite is a grand strategy experience that lets you play your own Star Trek story as the leader of one of four major factions in the galaxy. Follow the specially crafted story or blaze your own trail in the first Star Trek grand strategy game.
Looks like Paradox is making a Stellaris-based Star Trek grand strategy game!
Two of them, actually! I personally prefer the newer one, New Civilizations. Less buggy, gets updated quicker, plus just generally a higher level of polish.