Was the blind chess match between Sherlock Holmes and James Moriarty in the movie Game of Shadows real/plausible?
Interesting question! Unfortunately it's not possible to easily reconstruct the complete game from the limited information available in the movie. Fortunately for us, this has been investigated in detail at chess.com, where they have done an awesome job of reconstructing the opening and ending from the movie.

The game played in the movie is based on the historical grandmaster game, Bent Larsen vs Tigran Petrosian, 1966 (Santa Monica). Both the opening move sequence and the ending have been changed somewhat to make it a little bit more exciting to watch. You can play through this original game in the linked article.

I won't include the board for the final position here since until we have better chess rendering support, it is better displayed on the linked website. You can click through the moves and see how it all unfolds.

The author of the blog post also emailed the movie's technical director, and got some additional information, including the historical background, which he used to refine his reconstruction of the game's opening and ending:


  I emailed the technical advisor Adam Raoof during the chess scene and Qh6 and Kh1 wasn't in the movie but are the correct moves.(I presumed it cause it was the only possible move with queen cause of later Qxb2 and of course the King could have moved to f1 also).
  
  I took a closer look at the chess scene and the opening and you can read the about it in the middle of the blog.They use a different opening in the movie then the Larsen-Petrosian game.
  
  Adam Raoff told me that he choose the game with Larsen as a tribute to him and because it was one of his favourite tournament books and was played in the year of his birth.
  
  Holmes was gonna play white in the original script but soon after they decided on this line the director changed the script so that Holmes was gonna have the black pieces so they reversed the position and lost a move.
  
  Adam added the line 'discovered check and, incidentally, mate', which made it to the film and which Robert Downey Junior thought was  "&amp;&amp;**ing awesome"!