Funimation Streams Serial Experiments Lain for Free!
You know what's really good? Serial Experiments Lain. Remember the year 1999, when The Matrix blew America's face off with it's philosophy mixed with digital kung-fu? Lain was there, too, but you might not have even heard of her.
Lain doesn't have any kung-fu or gunplay (wait, stay here!) but it does dive deep into the same philosophy regarding the nature of our existence as The Matrix does; I would say that it goes deeper than The Matrix does.
This is the opening to the anime, with one of my favorite OP themes, period.