I didn't find a thread covering these films, so apologies to the mods if one already exists.
I'm going to focus on the 1st 2 films, Alien and Aliens, as they are obviously the best in the series and I think that the characters were a little more rounded out and believable (especially in Aliens)--the characters in 3 and especially in Resurrection seem very silly and larger-than-life, and I don't want to get into those films at the moment. Let's not even mention the AvP films.
Ellen Ripley: INTJ (maybe) ISTP was my first guess, because she becomes a badass with weapons, but that's the ultimate mistake people make ("such-and-such must be an ISTP because they are good with weapons"). Otherwise, I see nothing to indicate STP for Ripley. My second guess would be ISTJ
Dallas: ISTJ, maybe ESTJ
Ash: INTP (one of the best examples of an INTP villain, imo)
The Xenomorph: INTJ
Bishop: INTP (yes, yet another android INTP)
Alien Queen: ENTJ