There are no racial combat animations.

However, since the races have different builds, they will still look different when doing the same things... a punch from a male Roegadyn will look heavier than a punch from a female Midlander. Also, of course different races look different in gear. My personal favourite for female monks are Roe and Hyur Highlander. They are tall and muscled, making their attacks look like they have a lot of oompf, but still swift and graceful.