Star Trek: 25th Anniversary for the original Game Boy had some shoot ‘em up segments like this. (The Klingons were smaller and in their own ships.) It’s not really worth going back and playing, but they managed to include some very Star Trek gameplay elements despite being a 1992 licensed handheld game.
Instead of power ups, you could pause the game to reroute your ship’s power. You started off with a balance of engines (how fast you could move), shields (how much damage you’d take if you got hit), and weapons (how far your phasers would travel across the screen and how much damage they’d do.)
It was pretty neat being able to go, “Oh no, asteroids!”, and then set your weapons to their absolute minimum and use those resources for your engines. Your phasers would only go two pixels in front of your ship, but you could zoom around the obstacles. Then when enemy ships show up you’d crank up the weapons and shields and blow them out of ~~the sky~~ space before they managed to square up a shot at you.
But mostly you just keep everything roughly balanced, hit a random obstacle and instantly died. I don’t think I even saw the away mission segments without Game Genie codes.
It’s pickled! Had to get it extra purple! 🙌