After wrapping his Facebook founding drama, The Social Network, David Fincher is looking for his next project. The first is the chess drama Pawn Sacrifice (via Variety). We reported that the film is being produced by Tobey Maguire, who is also looking at the lead role. Fincher is attached to the Colombia Pictures’ film that tells the “life story the life story of American chess icon Bobby Fischer leading up to his historic world championship match against Boris Spassky.”

His next possible project an adaptation of Stieg Larsson‘s The Girl With the Dragon Tattoo. The novel trilogy already has received  Swedish language versions. The English adaptation is being produced by Scott Rudin at Sony and written by Steve Zaillian (Schindler’s List, American Gangster). The Playlist reported that Oscar nominee Carey Mulligan is at the top of the wish list for “the role of Lisbeth Salander, a socially-awkward, computer hacking genius.” Fincher hasn’t signed on to anything, but he is on top of Sony’s wish list, which means very little in his actual participation.

His last project is a resurfaced anthology that he was working on over two years ago at Paramount. He would only be directing one of the eight or nine segments in Heavy Metal. The project is “inspired by” the 1970s science fiction fantasy magazine, Deadline reports. James Cameron and Zack Snyder are both lined up to do their own 3D animation, “all of them infused with the spirit of the erotic and violent storylines that defined the magazine.”

Each of these projects sound quite different and I’m sure he could do Heavy Metal along with one of the others in a reasonable time. With the 3D craze in full effect and James Cameron interested, I’m surprised he hasn’t found financing for Heavy Metal. I’d much rather see him do Dragon Tattoo than a chess drama, but it looks like he can make even Facebook interesting so I’m intrigued to see what he takes on next.

The Social Network hits theaters in October.

Which of these projects would you like to see Fincher take on?