In no particular order:
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Serenity:
Capt. Malcolm Reynolds: But it ain't all buttons and charts, little albatross. You know what the first rule of flying is? Well, I suppose you do, since you already know what I'm about to say.
River Tam: I do. But I like to hear you say it.
Capt. Malcolm Reynolds: Love. You can learn all the math in the 'Verse, but you take a boat in the air that you don't love, she'll shake you off just as sure as the turning of the worlds. Love keeps her in the air when she oughta fall down, tells you she's hurtin' 'fore she keens. Makes her a home.
River Tam: Storm's getting worse.
Capt. Malcolm Reynolds: We'll pass through it soon enough.
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Equilibrium:
Mary: Let me ask you something. Why are you alive?
John Preston: I'm alive... I live... to safeguard the continuity of this great society. To serve Libria.
Mary: It's circular. You exist to continue your existence. What's the point?
John Preston: What's the point of your existence?
Mary: To feel. 'Cause you've never done it, you can never know it. But it's as vital as breath. And without it, without love, without anger, without sorrow, breath is just a clock... ticking.
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The Shawshank Redemption:
Red: I have no idea to this day what those two Italian ladies were singing about. Truth is, I don't want to know. Some things are best left unsaid. I'd like to think they were singing about something so beautiful, it can't be expressed in words, and makes your heart ache because of it. I tell you, those voices soared higher and farther than anybody in a gray place dares to dream. It was like some beautiful bird flapped into our drab little cage and made those walls dissolve away, and for the briefest of moments, every last man in Shawshank felt free.
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Star Trek: Deep Space Nine, Ep. 6.19 "In The Pale Moonlight"
This one had two awesome quotes, so I listed them both:
Elim Garak: That's why you came to me, isn't it, Captain? Because you knew I could do those things that you weren't capable of doing? Well, it worked. And you'll get what you want: a war between the Romulans and the Dominion. And if your conscience is bothering you, you should soothe it with the knowledge that you may have just saved the entire Alpha Quadrant. And all it cost was the life of one Romulan senator, one criminal, and the self-respect of one Starfleet officer. I don't know about you, but I'd call that a bargain.
Captain Sisko: So... I lied. I cheated. I bribed men to cover the crimes of other men. I am an accessory to murder. But the most damning thing of all... I think I can live with it. And if I had to do it all over again - I would. Garak was right about one thing: a guilty conscience is a small price to pay for the safety of the Alpha Quadrant. So I will learn to live with it... Because I can live with it... I can live with it... Computer - erase that entire personal log.