Vicki Vale and Bruce Wayne.
Correct.
“I’d like to ask you a question. You don’t believe the boy’s story; how come you believe the woman’s? She’s one of ‘them’ too, isn’t she?”
“…You’re a pretty smart fella, aren’t you?”
12 Angry Men
Yes.
“Despite my rejection of most Judeo-Christian ethics, I am, within the framework of the baseball season… monogamous.”
Bull Durham.
===
I came back to the movie I had paused earlier this afternoon on youtube and took the very next line for this thread:
“I guess most of the people who come to these sort of parties are drunken idiots.”
Correct.
“Apology accepted, Captain Needa.”
Is that Susan Sarandon in Bull Durham?
Damn. beaten to the punch.
Darth Vader in The Empire Strikes Back.
Is there any line in the Star Wars original trilogy that could be considered “non-famous”?
I tried to find one, but fuhgettaboutit.
Here’s one that I posted a few hundred posts ago that went unanswered:
“I don’t care of Helen of Troy walks into the room; that’s Game 6!”
“You think you’ve been getting away with it all this time, standing by. Well, son … your bystanding days are over! You 're in it now, up to your neck!”
"Nah....now, I don't know anything about that."Wild guess: Jack Nicholson as The Joker in Batman?
Two of mine that I don’t think have been answered.
The Shining, when Jack Nicholson goes into the empty ballroom and starts talking to the bartender. That’s the line that always pops into my head when I go into some business and I’m the only customer there.
Mad Max, just after the big crash in the opening chase sequence.
Right series, wrong movie.
Damn! 
“It’s Greek. I have a fondness for things Greek.”
Indeed.
I’m vacillating between Cheech and Chong and Double Indemnity…
What? Over? Did you say ‘over’? Nothing is over until we decide it is! Was it over when the Germans bombed Pearl Harbor? Hell no!..It ain’t over now, ‘cause when the goin’ gets tough, the tough get goin’. Who’s with me? Let’s go! Come on!..(runs to the front door but no one followed him, and then, returning:) What the f–k happened to the Delta I used to know? Where’s the spirit? Where’s the guts, huh? This could be the greatest night of our lives, but you’re gonna let it be the worst. ‘Ooh, we’re afraid to go with you, Bluto, we might get in trouble.’ (shouting) Well, just kiss my ass from now on! Not me! I’m not gonna take this. Wormer, he’s a dead man! Marmalard, dead! Niedermeyer…
The thread title says “non-famous line”. The only more famous line from that movie would be “Look. I’m a zit!”
No, I’m afraid neither.