Well i was playing FF6 the other day when I thought about doing this. Feel free to add some.
Final Fantasy 3/6

"In this world, there are many like me who have killed their emotions. Don't forget that. " --Shadow.

"The dog eats strangers."--Shadow

"My name is Atma...I am pure energy... and as ancient as the cosmos. Feeble creatures, GO!"--- Atma Weapon.

Gau: Gau's treasure....... shiny, shiny!!!
Shiny, shiny, shiny!!!
Sabin: Can anything be THAT shiny?

"My lfe is a chip in your pile. Ante up!" --- Setzer

And to those die-hard FF6 fans like me, this should bring up a few memories:

"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 ther can be,
Only you my chosen one...
Must I forget you, our solemn promise?
Will autumn take the place of spring?
What can i do, I'm lost without you,
Speak to me once more!"-- Celes, Aria De Mezzo Carattere.

And my favorite 2 favorite scene/quotes from FFX:

Rikku: Where are you from?
Tidus: Zanarkand. I'm a blitzball player.
Star player of the Zanarkand Abes!
Rikku: Did you hit your head or something?
Tidus: Um, you guys hit me?
Rikku: Oh, right....

"Now! This is it! Now is the time to choose! Die and be free of pain or live and fight your sorrow! Now is the time to shape your stories! Your fate is in your hands!"--- Auron