What are some psycho billy haircuts?

Well, first of all there is not space between "Psycho" and "Billy." They are both one Word.

Well depending on your sex there are many different ones. I am female and I have medium length hair, with u-shaped Bettie Bangs. You can do the V or u-shaped bangs. Make sure your hair is layered and razored too, it will look odd. You could also just pin curl your hair if you do not wish to cut your bangs. You can do kitten ears, victory curls, pin curls, riveter, psychobilly beehive, the mary ann do, quiff, woman pomp, chelsea hawk, etc.

For a man you could simply grease your hair into a pomp. Or a quiff if you'd like. There is also another mans cut called the psychobilly wedge. It's quite similar to the mohawk. You get it along the way. There are many more you can simply look up.