Tyrion's speech from the books:

I saved you all, Tyrion thought. I saved this vile city and all your worthless lives. There were hundreds in the throne room, every one of them laughing but his father. Or so it seemed. Even the Red Viper chortled, and Mace Tyrell looked like to bust a gut, but Lord Tywin Lannister sat between them as if made of stone, his fingers steepled beneath his chin.

Tyrion pushed forward. "MY LORDS!" he shouted. He had to shout, to have any hope of being heard.

His father raised a hand. Bit by bit, the hall grew silent.

"Get this lying whore out of my sight," said Tyrion, "and I will give you your confession."

Lord Tywin nodded, gestured. Shae looked half in terror as the gold cloaks formed up around her. Her eyes met Tyrion's as they marched her from the wall. Was it shame he saw there, or fear? He wondered what Cersei had promised her. You will get the gold or jewels, whatever it was you asked for, he thought as he watched her back recede, but before the moon has turned she'll have you entertaining the gold cloaks in their barracks.

Tyrion stared up at his father's hard green eyes with their flecks of cold bright gold. "Guilty," he said, "so guilty. Is that what you wanted to hear?"

Lord Tywin said nothing. Mace Tyrell nodded. Prince Oberyn looked mildly disappointed. "You admit you poisoned the king?"

"Nothing of the sort," said Tyrion. "Of Joffrey's death I am innocent. I am guilty of a more monstrous crime." He took a step toward his father. "I was born. I lived. I am guilty of being a dwarf, I confess it. And no matter how many times my good father forgave me, I have persisted in my infamy."

"This is folly, Tyrion," declared Lord Tywin. "Speak to the matter at hand. You are not on trial for being a dwarf."

"That is where you err, my lord. I have been on trial for being a dwarf my entire life."

"Have you nothing to say in your defense?"

"Nothing but this: I did not do it. Yet now I wish I had." He turned to face the hall, that sea of pale faces. "I wish I had enough poison for you all. You make me sorry that I am not the monster you would have me be, yet there it is. I am innocent, but I will get no justice here. You leave me no choice but to appeal to the gods. I demand trial by battle."

"Have you taken leave of your wits?" his father said.

"No, I've found them. I demand trial by battle!"

Imgur comments: http://imgur.com/gallery/jKTDi

Reddit comments: 

http://reddit.com/r/gameofthrones/comments/25da6x/s4e6_asos_tyrions_speech_from_the_books/

Cue Oberyn:

Reddit comments:

http://reddit.com/r/gameofthrones/comments/25vy6o/no_spoilers_one_of_my_favorite_reactions_on_the/

I wish I was the monster you think I am:

http://pandawhale.com/post/44107/tyrion-i-wish-i-was-the-monster-you-think-i-am-gif

Tyrion's speech in episode 4x06:

Reddit comments:

http://reddit.com/r/gameofthrones/comments/25bv21/s4e6_tyrions_speech/

Alternate speech: Game of Kombat.

Reddit comments:

http://reddit.com/r/gameofthrones/comments/25ksd2/spoiler_s04e06_game_of_kombat_tyrions_speech/

And another alternate ending:

Reddit comments:

http://reddit.com/r/videos/comments/25o2yp/tyrions_trial_speech_alternate_ending/

This line from 3x10 really worked against him:

I'd kill you all if I could:

http://pandawhale.com/post/43634/id-kill-you-all-if-i-could-tyrion-lannister-s4e6

Jaime and Bronn discuss trial by combat in 4x04:

http://pandawhale.com/post/43435/jaime-and-bronn-discuss-trial-by-combat-in-s4e4

Tyrion and Varys at the trial:

http://pandawhale.com/post/43486/sadly-my-lord-i-never-forget-a-thing-varys-s4e6

What really made this scene were the expressions.

Bigger: http://pandawhale.com/post/43458/tyrion-trial-by-combat-all-characters-reactions-gif

Hashtagging the Tyrion trial: http://pandawhale.com/post/43624/hashtagging-the-tyrion-trial

Students at finals time:

Not just Tyrion and Tywin but everyone.

Every reaction to Tyrion's demand:

Reddit comments:

http://reddit.com/r/gameofthrones/comments/25elp8/s4e6_every_reaction_to_tyrions_demand/

As a gif:

http://pandawhale.com/post/43458/tyrion-trial-by-combat-all-characters-reactions-gif

More about Tyrion's trial and Game of Thrones 4x06:

http://pandawhale.com/post/43351/game-of-thrones-season-4-episode-6-the-laws-of-gods-and-men-gifs-and-memes

Cheers. http://pandawhale.com/post/36434/tyrion-lannister-cheers-drinking-gif