Personally I prefer the pre-Engineer narrative where the aliens were just horrific, inexplicable things that crawled right out of Giger's nightmares. The whole Prometheus narrative with David creating them 1.) Doesn't fit, because how the hell did the Space Jockey in Alien get hold of them if David made them? and 2.) takes away all the mystery. The aliens don't need an origin or explanation, and it hurts their mystique and horror when they have one. As long as they're just this god awful nightmare out of deep space you can never really feel safe. They could show up anywhere unexpectedly. The alien eggs on the jockey's ship weren't from LV-421/Hadley's hope. It found them somewhere, it transported them, and it was killed by them. It's last message was a desperate warning; "Don't come here. It's not safe."

I do think the franchise has been unnecessarily constrained by insisting on sticking to the "The Company wants the aliens for bioweapons research" plot. There's a lot of other things you could do.

Make a pandemic movie with guns, where public health officials are trying to model and track the spread of the aliens to try to get ahead of them before they overrun the whole planet.

Do a detective story where the alien outbreak is the background to a cop trying to hunt down a serial killer.

Have a political thriller where the aliens are already weaponized and the government unleashes them on the revolutionaries to try to crush the revolution, leading to a three way battle ala that one Biohazard/Resident Evil movie set in Eastern Europe.

Do a movie where a ship goes down on an alien infested world with the president's daughter on it or something and they send in David Hayter and a crack team of mercenaries to rescue her.

Do a medical thriller where an outbreak has already been crushed in the prologue, but now the remaining medical personnel have hundreds of infected people contained in hypersleep and they're in a race to figure out how to surgically remove the alien embryos from the victims before the town's power goes out and the hypersleep caskets fail. Instead of being about fighting the alien adults it's about trying to essentially find a cure for the impregnation before everything goes to hell and they have to euthanize almost all the survivors. Maybe the protagonist is a medical researcher or surgeon who has an alien inside them already. They're the only one skilled enough to perform the surgery, so they were unfrozen, knowing the alien would probably kill them, and they're racing to program a surgical robot to do the necessary extraction surgery on the infected people before they're killed by the alien inside them.

Do a "Nature Documentary from Hell" where a bunch of synth camerasynths are dropped on to an alien infested planet (in a lot of stories aliens will ignore synths as long as they don't take any hostile actions and don't get in the way). Have the synths explore the hive, observe the aliens hunting in a wild environment, watch what their life cycle looks like without any screaming, terrified humans being involved, hang out with the queen and maybe have a scene where the queen does some scary intelligent things like carefully dissecting one of the synths to see what kind of creature it is, or 'tests' the synths by having drones mock-charge it, or trying to feed it to see if it eats, sort of experimenting with it the way we'd experiment with one of them. Have interviews with "experts" scattered throughout where the experts advance contradictory theories about how smart the aliens are, how they behave, how the propagate through space. Make it clear in the subtext that no one really knows what these things are or how they can be real. And of course the final scene is a TV host explaining that the documentary footage was tight-beamed home ahead of the documentary crew's ship, but the ship missed it's rendezvous and was never found, currently listed as MIA.

Do a court room thriller where Wey-Yu execs are finally being brought to task for all the horror they unleashed and the main conflict is between the prosecuting attorneys trying to nail Wey-Yu to the wall and Wey-Yus legal team and political allies who want to weasel out of the whole thing. The end is "Ultimately Wey-Yu refused to dissolve the corporation and launched a corporate insurrection against the current government. After years of fighting the remaining Wey-Yu forces agreed to a negotiated surrender where they would turn over all senior executives to the government for execution in exchange for amnesty and humanitarian aid for the surviving Wey-Yu employees. The actual fate of Wey-Yu's executives is classified and remains unclear, with some speculating that the government gave them new identities in the wake of the scandal". Definitely have some horrific testimony from survivors mixed in with sharks in suits making very slick presentations about "they new the risks, contracts were signed, death benefits were paid, it was all legal, blah blah blah". Have at least once "found footage" sequence were someone on an infested ship or colony knows they're fucked (maybe they're infected) and is trying to gather as much evidence against Wey-Yu as the can and transmit it before they die. Make the whole thing a metaphor for Bhopal and similar disasters, highlighting out corporate execs never face punishment for their crimes.

do a character study of a marine platoon as they fight an extended campaign against the aliens. Each 10-20 minute sequence would follow one marine, and between the segments you'd get 3-5 minutes of horrific combat footage (or a boring patrol where nothing happens). Each sequence would end with the marines in their drop ship or APC, with empty seats highlighting who didn't make it. Really lean in to the "Long periods of boredom punctuated by moments of absolute terror" trope.

Do a short from a perspective of a dog stuck in an alien infested city. Have a bunch of mundane scenes of foraging for food, growling at other dogs, chasing cats, mixed in with terrible stuff stuff - The dog approaching a human right before an alien grabs them, almost getting face hugged. In the end the dog gets rescued (maybe by Yautja/Predators for a twist?) but it's ambiguous if the dog is infected.

Have a sequence where a couple of humans are out hunting outside their compound on an exoplanet. Or maybe they're field biologists and their guides/bodyguards. They're trying to find some animal or something, but they're being hunted by an alien, and there's a yautja tracking both the team and the alien. The humans eventually realize the alien is tracking them and manage to subdue it using some clever tricks with minimal death and mayhem, and right when it looks the Yautja is about to attack and kill them it's revealed that the plasmacaster on it's shoulder is actually a documentary camera and it was merely observing the humans to see how they'd fair. Maybe documenting the hunting and survival practices of humans for the interest of Yautja viewers back home.

Do a horror movie where the aliens themselves are the villain protagonists. They're in the final stages of overwhelming a human colony when something starts killing them The no-dialogue film follows a drone, a soldier, and the queen as they try to figure out what is attacking the hive and how to stop it. I have no idea what the alien-eating super-predator would be, idk how you could make something that's frightening to aliens. Maybe it's the colony's synth custodians who were ignored during the alien attack and decided to take revenge, and the aliens can't figure it out because they don't recognize the mechanical synths as a threat. When the drone finally finds drops of synth lubricant fluid it realizes that the janitors they've been ignoring where quietly wiping them out with traps and accidents, the rushes to rescue the queen but it's too late. When it enters the egg champer everything is on fire and all the synths are standing around with improvised flamethrowers, having powered themselves down after achieving their revenge. The drone claws them apart in rage but it's ultimately pointless as the powered down synths don't react, leaving it to scream helplessly in the midst of it's slaughtered hive.