If you are talking about Naruto... That's clearly Baguazhang, there is no doubt when he says Hakke(8 trigrams, also japanese for bagua) and 64 palms is actually a baguazhang form, the symbol that appears on the ground is from I-ching wich bagua is based on

xingyiquan (bad guy) baguazhang (good guy)

Shou-Yu Liang has written:

'Xingyiquan' -- subject(s): Martial arts, Xingyiquan

'Hsing yi chuan' -- subject(s): Martial arts

'Baguazhang (Emei Baguazhang)' -- subject(s): Martial arts

'A guide to taijiquan' -- subject(s): Tai chi

'Qigong empowerment' -- subject(s): Buddhism, Chinese Medicine, Health aspects, Health aspects of Qi gong, Martial arts, Medicine, Chinese, Qi (Chinese philosophy), Qi gong, Study and teaching, Taoism

The 4 bending styles are actually 4 forms of Chinese martial arts: Waterbending is based on Tai Chi, Earthbending is based on Hung Gar; Firebending is based on Northern Shaolin; and Airbending is based on Baguazhang

The eight trigrams and 64 Palms are parts of what most of use refer to as Kung Fu. The forms are commonly done in Wushu competitions. A google will on the terms will even get you access to videos of the forms.

Its real to a point, there is a style called baguazhang ( eight trigram palm) that uses neji style somewhat, also there is a style called dim mak that uses pressure points like neji. The Gao style baguazhang especially has the eight palms and the 64 palms taught. Another sytle like it is the (black lotus) I am now a Sadamie or 3rd degree black blet in it.