Battlestar Galactica
Though I'm not interested in running it, The answer to your question of what systems would be best suited, I can think of several.
Cogent would work, though it would require a lot of improvising on the GM's part.
GURPS would work, and would require no alteration.
Traveller could be used again with little to no alteration.
RIFTS particularly the Three Galaxies setting, Cylons and Human looking Cylons could be represented by Machine People. It would take some work, and obviously the magic and Psionics would have to go.
Star Wars could easily be adapted.
Ultimately I've seen no game that couldn't be run under any system with some work. How much is all that is the question.