FLCL, Full Metal Alchemist, Samurai Champloo, Afro Samurai (with Sam Jackson doing the voice over, no less), Cowboy Bebop, Outlaw Star.
Those are the ones that usually interest people who have no interest in anime. However, I don't recommend going into Full Metal Alchemist first. It uses a lot of the anime specific art styles which people who are not used to anime might find off-putting. Naruto is the same.
The opening fight scene from Afro Samurai: