I was surfing around and randomly, I came across a set of SFX from Star Trek from this fansite here. It's 22 wav files and they're each quite small and short, though a few of them have some remnants of BGM and/or ambiance. So they sound like they're ripped, but I wasn't the one who ripped them.
Star Trek SFX (ripped)
Download batch ZIP @ Mediafire
There are computerized voices, bleeps and sirens, and a few assorted sci-fi SFX like blasts and whooshes. Also a random alien bird-like sound in it.