BadBoy has a pretty decent rep for a European PUA, though some question whether or not his methodology works in the States. That Cortez (the dude in the red wifebeater) video was part of his group... that was interesting.
It's a very, VERY direct method of approaching whereas most of the other methodologies are more indirect. BB will approach very alpha, macho style and tell the girl that he likes her and would like to get to know her better, push her sexual buttons, etc.
The other styles (like TD and Mystery) approach more coquettishly & indirectly, ask an opinion, and seek to push her various emotional buttons (fun, drama, etc).