The unicorn from the film itself wasn't "true" origami, being a prop consisting of several pieces glued together, but it really popularized the idea of an origami unicorn and a number of the current designs were prompted by it.

I actually was unaware that this warranted a website. When I was young, I had one origami book. I completed it to about 40%; wasn't too bad but was far away from being really good. Origami is quite an art. These days I tend to watch youtube videos more than look at oldschool books but I loved that old handbook. Never folded a unicorn though.