Originally Posted by
BlueTravesty
1. History's Strongest Disciple Kenichi
My personal favorite. Every once in awhile, it'll get into "supernatural" stuff, but that's mostly because it's from the main character's perspective, who's a total noob in Martial Arts (so anything the Masters do will seem supernatural.)
2. Fighting Spirit/Hajime No Ippo
Because Boxing IS a martial art. I like this one because it approaches boxing from a very interesting angle. Again, some of it gets into unrealistic effects, but mostly for the purpose of hyperbole.
3. Ranma 1/2
Because even though it has fake MA styles, it's still funny and entertaining. For an anime, especially one so old, the fight scenes are very creative, and of good quality. I'm particularly fond of the "Gymnastics Battle."
Those are my personal favorites, though I'm also fond of Avatar, though some people tend to dispute its status as Anime.