Evangelion; Asuka vs The Eva Series
Shinji vs The Fourteenth Angel (Zereul, in the original anime).
I see your battles, and raise you any battle of the Evangelion Rebuild. Particularly, Mari in Unit 2 unleashing 'The Beast'. Plus, Unit 0 brandishing a nuclear missile
as a melee weapon. God, I love these movies.

Alas, no videos to be found. Those moments are ingeniously badass.
Cartoon intro sequences during the 90's had some real badass moments. I've always had a soft spot for the intro to the Iron Man saturday morning cartoon, namely because it depicts Tony Stark constructing the Iron Man suit with merely a
hammer and anvil. The Swat Kats had an awesome one, with a
modified F-14 fighting a dinosaur to the strains of righteous power-metal. I ****ing
love how insane the
Megas XLR intro is, not to mention the show itself. Genndy Tartakovsky's Clone Wars series has its detractors, but no one can deny Mace Windu is a
bad mother ****er after he
takes out an army of battle droids with his bare hands. Speaking of Genndy, Samurai Jack has innumerable moments of badass, the greatest of which is probably the loose adaptation of Frank Miller's 300 in
Jack and the Spartans. One of the most badass animated things i've ever seen belongs to the Japanese opening for the X-Men Animated Series. While the regular intro is already pretty badass, with one of the
coolest theme-songs of the 90's, the
Japanese intro will literally explode your socks. For ****'s sake, it makes
Jubilee look badass!
But, without a doubt, the most badass moment belongs unquestionably to the
intro for the greatest cartoon ever made.Edit: Also, the
death of the Joker.