# True Lies (1994)
# Die Hard (1988)
# Die Hard 2 (1990)
# Aliens (1986)
# Alien³ (1992)
# Predator (1987)
# Predator 2 (1990)
# Commando (1985)
I looked at em all and the best of the bunch are Die Hard 2, Predator 2 and Alien³. Alien³ is the clearest one. I can rip all 3 and upload them if you'd like? VOBs, or demuxed M2V+AC3 files? By the way they're PAL. However, this might be better since you want the best looking one. You can always replace the sound anyway.
EDIT: Well, I've just tried ripping the Fox logo and the minimum I can extract with DVD Decryptor is a chapter. Is there a ripper program that lets you specify a time range to extract?