Personally, I consider Schools to be an artifact of "classes" and Rank an artifact of "levels", and that's part of my skepticism about both features of L5R. I know this is one of those places where I get a lot of disagreement -- but at this point, I pretty much flatly refuse to play any system that outright has classes and levels, as both concepts are utter nonsense, anachronistic tripe from about 50 years ago that should have died long ago.
Looks like the overall trend in RPGs (computer and tabletop) disagrees with your assessment that level-based systems are anachronistic. You're free to not like them, of course, but there's nothing any more wrong with classes and levels than there is anything right with pont-buy or "classless" systems. Each is useful for a diferent type of gaming experience, and the fact that they've been the majority of RPG sales to this day (between D&D in all its forms, the Clans and their Powers in Vampire and all the other varients in all the Worlds of Darkness) shows that not everyone wants or needs a classless system.
Even those of us who can use one perfectly fine often prefer to just use a class-based system, because it saves mental energy having to worry about your build that you can use to just have fun playing the character.
Myself, I still prefer random stats and random class rolling, but my players hate it, so I tend not to use it in my games (but allow the option). Give me a completely open-ended character system like HERO or GURPS and I'll most likely just stare at the sheet and doodle a bit, because being able to buy everything doesn't help me narrow down a concept, and many times I don't arrive at the table with a nice character concept. Sometimes I do -- like a Lion Clan Paris HIlton, which worked great -- but usually I'll just roll some dice and see what comes up, because the freedom to buy anything means you have to consider everything if there's nothing particular you feel drawn to. Like has been said many times, restrictions breed creativity, and the hooks from class-and-level are more useful for some players to get a concept going.
It's not anachronistic just because you don't like it. It's just something you don't like. Which is fine, you should play the games you like.