Crouching Tiger, Hidden Dragon has genre Martial Arts FilmMartial Arts Film has examples: The Last Dragon
[Human]: Do you have any movies like Crouching Tiger, Hidden Dragon? [Assistant]: Do you like martial arts films? [Human]: I do. I loved The Last Dragon and Karate Kid but don't know of many others. 
Enter the Dragon, Kung Fu Hustle and Way of the Dragon are all good options.