Not all anime uses the same animation style. "Anime" simply refers to animation as a whole. Many animators opt to use a more realistic style of animation, while others prefer to use more exaggerated features when animating. The common misconception about anime is that it all uses the same large-eyed style where characters have exaggerated facial features, expressions, and emotions. This is not the case, as Japanese animation is actually quite diverse, with different animators using different proportions, styles, palettes, and techniques.
As shown in this image, anime varies quite a bit.