You need CSS3D for that. I鈥檒l need that too soon to embed youtube videos. There is a lot of info and examples on this forum like this one by hofk: MixedHtmlCssWebGl
Or this one: three.js/css3d_youtube.html at f021ec0c9051eb11d110b0c2b93305bffd0942e0 路 mrdoob/three.js 路 GitHub
P.S. that old Windows simulation in the website you linked is awesome BTW 