So I was wondering why there is no Anime RP (Or I must have missed that, than my bad) but will it be accurate enough to have used Basic Fantasy RP? I mean the anime is based on Fantasy but it's not 100% clear what to do in that way.
This message had punctuation tweaked by a moderator, as it was the wrong forum, at 17:56, Fri 15 Jan 2016.

I'm finding myself confused by how your question is worded, Hanon, and do not entirely understand what is being asked.

There are many anime roleplaying games out there. From pure anime games such as Sailor Moon, Cute & Fuzzy Seizure Monsters, OVA, Tenchi Mujo, and Panty Explosion Perfect to anime-inspired games such as Exalted or Kill the Buddha.

This message was deleted by a moderator, as it was against the forum rules, at 06:54, Sat 16 Jan 2016.

...BESM, Maid...

There are several editions, and different versions of BESM, aka Big Eyes Small Mouth played on rpol. It is a rule set modeled off of anime.

The old Thrash roleplaying system was used to simulate fighting games and anime combat.

I think Blackbird took Thrash down at some point, since I haven't been able to find it for about ten years. Another author put up a much more finished game with the same niche called Fight!, again emulating tournament fighters like Mortal Kombat and Street Fighter.

Then there's the Shonen Final Burst RPG, a game emulating martial arts action anime. The four default settings in that game are Totally Not Bleach, Naruto, One Piece, and Dragon Ball Z.

Open Versatile Anime recently released a revised edition of the rules, and is meant as a general system for fueling anime-inspired adventure.

The afore-mentioned Blackbird also has a game called Magical Burst, now in its fifth draft, emulating the Magical Girl genre. Specifically Madoka Magica.

I'd like to mention that the Sailor Moon, Cute & Fuzzy Seizure Monsters, and Tenchi Muyo games Manticore suggested are all the same game system: Big Eyes Small Mouth. The two primary versions of that running around are 2e and 3e, which are drastically different games. Both are worth checking out. Other setting books include Slayers, Trigun, El Haaard, three other Tenchi settings (Universe, In Tokyo, and I think one of the movies), and Dominion Tank Police. Though that might have been something else. They also have a D20 system variant.

Speaking of the something else, R. Talsorian Games has a system called Fuzion that powers their whole line of anime RPGs: Bubblegum Crisis, Dragon Ball Z, Mekton Zeta (also mentioned earlier), Teenagers From Outer Space (not quite Fuzion, but close), and possibly Dominion Tank Police, if that wasn't BESM after all.

Anima Prime is an anime themed game riffing off the feel of the Final Fantasy games and anime, with some western inspirations like Avatar: The Last Airbender.

Bliss Stage is a bizarre little anime-themed post-apocalypse game with a very integrated setting and tone. Think of it like a mash-up of the Matrix with Neon Genesis Evangelion.

Plenty of games for specific settings or ideas.

Might also be worth looking up Legends of the Wulin, even though it's intended more for wuxia-themed roleplay, or Tenra Bansho Zero.