There are two notable extended scenes of strong gore in Nekomonogatari. One occurs in which a man is attacked and loses his arm/sprays a significant amount of blood. However, the scene occurs in a darkly lit room, and the blood is portrayed as black, reducing the impact.
A man is attacked and ripped in half, spraying blood all over a room. We see the bottom half of himself split from his body as the top half is still alive. This time, the blood is red/can be clearly seen, and the impact is much stronger.
A girl is seen after being hit by her father with blood dripping down her face.