A good example of these Asian hairstyles that has found widespread appeal beyond the confines of Asia is the flippy haircut, which makes a particularly appealing option for people with hair that is considered of medium height (which in other parts of the world might be considered very long hair).
As the name suggests, the flippy haircut is made by growing your hair to medium height till it falls over to your shoulders, and then flipping it towards the eye (left or right) on the front part of head, to end up with that hard to ignore look. To enhance the look, you might also consider parting it in the middle. This look, though widely found all over the world today, has its look in Asia.
Another example of the Asian hairstyles that have found widespread appeal beyond the confines of the Indian continent is the hairstyle known as the 'short bob.' Here, the idea is to make the hair into short bobs (by growing it to medium height, but never letting it fall over) and then treating and combing it so that the bobs, at least most of them, lie to the left and to the right of the head, rather than to the back of the head.