I'll add more as I find them!!!

Gundam SEED

After Kira had saved Cagalli's group after they chased after the Desert Tiger, he walks up to her and slaps her, angry when Cagalli told him that one of her friends was injured. He felt they had no right to go after the Tiger in the first place considering the lack of force they had.

"What the hell can you protect when your feelings are the only weapons you have?"
Murrue: That's sexual harassment, major.
Mwu: Wha? It is?"

Spiral

"You know, they say when you fall, it's best to fall straight to the bottom. And the farther you have to crawl back up, the stronger and greater you will become as a result."

Fullmetal Alchemist

Spoiler if you haven't seen the final episode of FMA....

Humankind cannot gain anything without first giving something in return. To obtain, something of equal value must be lost. That is alchemy's first law of equivalent exchange. In those days we really believed that to be the world's one and only truth. But the world isn't perfect and the law is incomlete. Equivalent exchange doesn't encompas everything that goes on here. But I still choose to believe in it's principle: that all things do come at a price, that there's an ebb and a flow, a cycle; that the pain we went through did have reward; and that anyone who's determined and perserveres will get something of value, even if it isn't what they expected. I don't think of equivalent exchange as the law of the world anymore, I think of it as a promise between my brother and I, that we will see eachother again.~ Alphonse Elric, Final Monologue

Kyo Kara Maoh

*King Yuri has once again left the castle without telling Gunter*(this is only the gist of the conversation). Gunter bursts into Gwendal's office.

Gunter: Have you seen his majesty???
Gwendal: No, I haven't. If you don't want him to run away from you, you should lock him up.
Gunter (swooning): Oh, me and his majesty, locked in a room together, from night until dawn...oh sweet temptation!
Gwendal: Will you just go and look for him already???

 BLEACH

"What a letdown, Kurosaki-san. A real letdown. After all, there's nothing but fear reflected in your sword. When you dodge, "I'm afraid of getting cut." When you attack, "I'm afraid of cutting someone." Even when you try to protect someone, "I'm afraid of letting them die." Yes, your sword speaks to me only of absurd fear. That's not it. What's necessary in a fight isn't fear. Nothing can be born from that. If you dodge, "I won't let them cut me." If you protect someone, "I won't let them die." If you attack, "I'll cut them." Well, can't you see the resolve to cut you reflected in my sword?" - Urahara Kisuke
"Forming bonds is infinitely more difficult than breaking them." - Kuchiki Byakuya

"Why do you think you were born first? So you can protect the younger brothers and sisters that come after you! You must protect them, even in death!"
- Kurosaki Ichigo

"Ichigo, live to the fullest, laugh to the fullest, go bald to the fullest, otherwise, I don't think I'll be able to face your mother." - Kurosaki Isshin

Chobits

"Oh, no, I'm fine. I only feel like an angel who was sitting on cloud 9, playing my harp without a care in the world, when all of a sudden, my wings were Ripped off, sending me plummeting down to hell and the sulfurous Abyss of Pure Misery." –Hideki, Chobits

"You really don't understand anything, do you?" -Kotoko, Chobits, referring to Chii

Dragon Ball Z

 "It's amazing how every time you open your mouth, you prove that you're an idiot." -Vegeta, DBZ

Fushigi Yugi

 Tasuki - "Chiriko! How've you been?"
Chiriko - "Not well. I've been dead."

Tsubasa Chronicle

"It's not you didn't die. It's not you won't die. I will not hold back when facing those who want me dead. If someone wants to take away the ones I want to protect, I'll kill them too. I can't remember how many people I've killed. So I'm not going to say any pretty words. But- the ones I hate most are those who give up their lives before all hopes are gone." - Kurogane
"That means I'm the type of person you hate most." - Fay

Fruits Basket

 "One of these days, I'll make you say you're sorry!" - Kyo Sohma
"I'm sorry." - Yuki Sohma
"Dammit! That's not what I meant! Don't you have any shame?" - Kyo Sohma
"Yes, I'm ashamed to be seen with you, shouting in public." - Yuki Sohma
"Oh that's it! We're taking this outside!" - Kyo Sohma
"We ARE outside, you stupid cat." - Yuki Sohma

"Well, who is this pretty girl? Would you like Grandpa Shigure to give you a candy?" - Shigure Sohma
"Stop that! The way you say it, it makes you sound like a dirty old man!" - Yuki Sohma

"I'm the most useless person I know." - Ritsu Sohma

"How sad... love, doomed from the start" - Saki Hanajima.
"Oh, you're reading that? What do you think?" - Shigure Sohma
"You don't want to know what I think..." - Saki Hanajima
"Oh... no?" - Shigure Sohma
"...but when is Volume 2 coming out?" - Saki Hanajima

"If it's possible for one person to be hurt by another, then it's possible for that person to be healed by another." - Hatori Sohma

"This year I'm gonna beat that damn mouse!" - Kyo Sohma
"Yeah, yeah, wouldn't that be nice!" - Yuki Sohma

 Final Fantasy X

 "Cherish me Yuna, and I'll cherish you." - Tidus

"I'm a blitzball player, star player, of the Zanarkand Abes!" - Tidus

"Ahhh, much thinking is unbecoming of a summoner....sound like Mika?" - Tidus

"You can't think, hey that's a cute girl from the fifth seat to the right, and you can't think about where your gonna go on that date, because when you do, that's when you lose." - Tidus

"The people we have lost, and the dreams that have faded....never forget them." - Yuna

Naruto

 Naruto: I will never give up...I will never go back on my word. That is my way of the ninja!

Sasuke:My name is Uchiha Sasuke. There are many things I dislike, and not much I do like. And I have an ambition that I have no plan to leave as a dream. The restoration of my clan, and to... kill a certain someone.
"Naruto, it's nice that you removed the poison so spiritedly, but you'll bleed to death if you lose any more... seriously." - Hatake Kakashi (Naruto)

"No, you don't get it, thats why I'm telling you. You think you get it, which isn't the same as actually getting it. Get it?" - Hatake Kakashi (Naruto)

"If you want to kill me, despise me, hate me, and live in an unsightly way... Run, and cling to life, and then some day, when you have the same eyes as I do, come before me." - Uchiha Itachi (Naruto)

"Those in the ninja world who break the rules and regulations are called filth, but those who don't care about their companions... are even lower than filth." - Uchiha Obito (Naruto)

Negima!

"The courage deep in my heart... Tears through the darkness.
They sever the doubt, these white wings."
-- Negi, Intro

Neon Genesis Evangelion

 "Man fears the darkness, and so he scrapes away at the edges of it with fire." - Rei Ayanami
"Miracles aren't something that just happen. You have to make them happen." - Misato

 Final Fantasy X-2

"People who want happy endings have to write their own." - Paine