First a concern: there's lawful as a political ideology then lawful as in disciplined. I'm assuming political/institutional ideology, as discipline comes with most great figures to begin with.
Here's a go:
Lawful good: All the Jedi but Qui-Gonn and Luke. They were the lawkeepers and negotiators in the Old Republic, often working closely with the Judiciary Department. Captain America, Superman, King Arthur for sure. Wong Fei Hon, from Once Upon a Time in China and The Iron Monkey, he's very reluctant to lead the revolution. Orthodox Catholicism/Eastern Orthodox would tend to fall under here as well, as would conservative Judaism with it's fierce (and IMO admirable) adherance to tradition. Maximus from Gladiator.
Neutral Good: Luke in ROTJ, Qui Gonn, Lando Calrissian in ROTJ. Batman is complex, so there's some ambiguity; he will work with the cops when possible, but if not he doesn't have problems whooping some booty vigilante style, and he'll run from the cops if they try to catch him. Same for Spider Man. Protestant Christianity, with it's distrust of large hierarchy, might come here, but Protestant Christianity is so broad that it's difficult to pin down one ideology.
Chaotic Good: Robin Hood, Han Solo in ROTJ, the Iron Monkey. Wolverine for sure. Libertarians in general. The good guys in the Matrix.
Lawful Neutral: Definitely Jevere from Les Miserables. Most samurai with lords. Probably large numbers of Stormtroopers. Anakin in AOTC. USAgent perhaps? The captain of the guard in Iron Monkey.
True Neutral: Lando in ESB. Most supporting characters in crime/mob movies- they won't do evil things, but they don't have a problem being associated with them. Karla in Lodoss. Spawn.
Chaotic Neutral: Han in ANH. The Pills in Akira. Conan the Barbarian. Fey Valentine in Cowboy Bebop. The Incredible Hulk, the Punisher, Casey Jones. The crazy Irishman in Braveheart. Nietzche's philosophy.
Lawful Evil: Vader, Palpatine, Doctor Doom. The Soviet Union's leadership. Lex Luthor. Saitou in Kenshin, Megatron.
Neutral Evil: Darth Maul possibly, if he was well enough developed. Jabba the Hutt. HHH in heel mode. Most bad guys in crime movies.
Chaotic Evil: Sabertooth, Tetsuo in Akira, the Kurgan from Highlander, the Joker, Mumm-ra, Vicious from Cowboy Bebop.