Storytelling
The storyline of any new Alien-inspired game should probably avoid paraphrasing the movies.
Movie-to-game adaptions have often led to terrible games, as much as game-to-movie adaptions have led to terrible movies. (I am still trying to forget AVP: Alien vs. Predator, but the memory of a predator running hand-in-hand with a human female still haunts me.)
So, I think Gearbox and Obsidian should look for intersecting or parallel storylines. Clearly, those new games should take place in the Alien universe, but the franchise timeline has many gaps to leverage.
Example:
The action could start on LV-426.
The terraforming colony just discovered The Derelict and the egg chamber. They load up a few eggs for study.
Now, this is a terraforming colony, not a science facility. So, while the local Science Officer attempts to learn more about the eggs, a few samples are shipped to the main Wayland-Yutani-controlled science complex in the Zeta II Reticuli system.
The rest of the game tells the story of what happens within the Wayland-Yutani-controlled science complex, located on an unrecorded planetoid.