Forget Shaw and the other archaeologist. They add absolutely nothing to the movie. Make this an Oedipus/Elektra story with David and Meredith. Weyland is dying, he doesn't have faith that Meredith has what it takes to follow in his footsteps. He adores David, but David is a robot and can't take over the company. Meredith is desperate to gain Weyland's approval, whereas David is more concerned about proving that he is superior to his "father," although he masks his true intentions. Meredith suggests the expedition when scientists discover evidence of a technologically advanced race in another star system. They go with the express intention of learning the alien secrets to prolong Weyland's life, although David secretly has plans to foil the mission so as to ensure Weyland dies and knows that it's David's doing.

Drop most of the faceless crew. Keep Idris Elba and develop his relationship with Meredith. Make her the focus of the film, as she's way more interesting than Shaw, who shouldn't even be in the movie. You can have Idris Elba's character being the one who pushes the questions about the origins of life, give his character more depth. I'd rather have four or five characters I cared a lot about rather than 12 I didn't give two shits about.

Also have them establish a base camp inside the alien structure. Going back and forth to and from the ship kills the momentum. Keep the Engineers as aliens. Have them be fused with the ship and specialized in their function. They should be biomechanical. Have them actually be working on creating the Xenomorphs, not this generic black goo that makes random aggressive mutations. And the end of the film should be the Xenomorph bursting out of the chest of the Engineer in the chair, not in some escape pod on another planet.

The space jockeys are mostly new though since we haven't seen them without their helmets and suits on up to this point.