"Chloe Frazer: Seems like I am always saving your ass.
Nathan Drake: Well, it is an ass worth saving."

I have a lot of favorite quotes but here's one from my recent played game, When Seagulls Cry:

BTW, she's just overexcited that she checked her opponent in chess. =P

"You spoony bard!" Tellah FF4

Too many...

The most recent ones 

'All you base are belong to us!'

and 

Rubicante: 'it was lugae who made chimaera of your parents, I shared no hand in his... perversities'

Rubicante: 'They shame me as they grieve you'

Edge: 'Don't speak of shame!'

Rubicante: 'I respect men like you, men with... courage'

Rubicante: 'But you are a slave to you emotions and will never know true strength, such is the curse of men'

Edge: 'You think my rage, a weakness?  Then let me show you how wrong you are'

*Edge's rage unlocks latent powers*

Rubicante: 'You are an interesting one indeed, such powers unleashed by anger alone.  But they will not avail you, even the frozen winds of hell's ninth circle cannot penetrate this cloak of flame that I wear'

Rubicante: 'Come I will heal your wounds, fight me at full strength!'

Also -

"My Brothers, we were forged in victory. A victory that ended the Great War and brought forth the reign of Mt.Olympus.

Born from the depths of the underworld.

Rooted in the river of souls.

Our mountain emerged out of the chaos. As it grew, so too did the might of the Olympians.

We created a world of peace, a world of prosperity, a world that lives in the shadow and safety of my mountain.

A mountain that has come to be the absolute measure of strength and power.

Now, on this day, that power is to be tested. A mortal, Kratos, seeks to destroy all that I have wrought.

Brothers, put aside the petty grievances that have splintered us for so long. We will unite, we will stand together and I will wipe out this plague ! Olympus will prevail !

- Zeus (God of War III opening cutscene)

Again, its one of the most recent ones that I like.

Sticking with GoW, GoW 2 had some pretty epic quotes...like "

A choice from the gods is as useless as the gods themselves"

"If all on Olympus denies me my vengeance, then all on Olympus shall die."

"Bury me with my money!!" -Boss 1 Sunset RIders

Oh my hero, so far away now.
Will I ever see your smile?
Love goes away, like night into day.
It's just a fading dream.

I'm the darkness, you're the stars.
Our love is brighter than the sun.
For eternity, for me there can be,
Only you, my chosen one...

Must I forget you? Our solemn promise?
Will autumn take the place of spring?
What shall I do? I'm lost without you.
Speak to me once more!

We must part now, my life goes on.
But my heart won't give you up.
Ere I walk away, let me hear you say
I meant as much to you....

So gently, you touched my heart.
I will be forever yours.
Come what may, I won't age a day,
I'll wait for you, always...

Celes singing Aria di Mezzo Caratere, Final Fantasy VI 

"Well now, that's a whole new spin on "Drop down and give me 20," Hm."
Ashley, Mass Effect.

I don't like quoting very much. And I figure, I quote Final Fantasy too much (I was going to make fun of it too :D)

but this one wins. :D

"I am Andrew Ryan, and I'm here to ask you a question. Is a man not entitled to the sweat of his brow? 'No!' says the man in Washington, 'It belongs to the poor.' 'No!' says the man in the Vatican, 'It belongs to God.' 'No!' says the man in Moscow, 'It belongs to everyone.' I rejected those answers; instead, I chose something different. I chose the impossible. I chose... Rapture, a city where the artist would not fear the censor, where the scientist would not be bound by petty morality, Where the great would not be constrained by the small! And with the sweat of your brow, Rapture can become your city as well." - BioShock