Not quite.
What makes a game (not system) anime, or more accurately, ala anime (ah, glorious English) is how things play at the table. It's the game matching the tropes and vibe of the series or type of series you're trying to emulate.
Fairly easy, given that, many anime could fall in the realm of Monty Python, and DO!
If you play out the anime it is really no different for many series that a giant Monty Python skit.
As mentioned before the "tropes" would have oversized breasts on a mecha bishojo in a sailor suit, with a partner who is the loner that acts like they are from the bad side of the tracks and a gang leader, but who is very emotionally scarred and sensitive, both of which have magic powers each with animal form the Chinese zodiac, fighting Illpalazo type of BBEGs.
The point is there is no real one trope, that stylizes and covers all of anime as it simply is ALL cartoons of a China/Japan/Korea/etc origin.
Things that fit anime tropes then would be Transformers, GI Joe, Sin City, Leon (the professional), Plastic Man, Wonder Women, TMNT, Hillstreet Blues, Robocop, Teletubbies, etc.
I can go on for days and match an anime to each of those shows or a trope that could be assigned to them.
Now, some systems were built with that intent so can make thing easier, but typically what makes a game like Mekton or Teenagers From Outer Space or BESM 'anime' is the advice in the book about matching those tropes and feel.
I've run anime style games using Mekton Z (Macross, Operation Rimfire, and a home brew or two), Fuzion (Bubblegum Crisis), SilCore (Jovian Chronicles, and a home brew), and WoD (a game set in Osaka involving anything that made sense at the time, primarily a group of vampires, a bunch of shapeshifters, some ghosts, and a bunch of mages).
It's not the system as much as it's the style and feel of the game.
But what I am saying is, there isn't much style outside of anything else done, such as Rifts, as the artwork. The stories really cross cultures very easily, and can be styled very easily back and forth.
Without the art styling, you have VERY little that makes "anime" different than any other animated program.
Name something that you think is anime only, and I can come up with literature or film/TV versions of any of them from the western world. Be sure to include what you think makes the program anime-only that you name.
Yuuyake Koyake is a tabletop game wherein all the players are animal spirits that can shapeshift into humans, and the goal is to make people in a nearby town happy. And that's it. The example given in the game is a group that helps a schoolboy overcome his fear and investigate a dark alleyway only to find a puppy, and then help him adopt the puppy, with it ending on them all playing with the puppy.
It's basically the most heartwarming game that could ever be created.
Includes supernatural, which makes for an EASY RPG translation. Sounds cute, but not really my cup of tea for an RPG. Is it something for the DSi?