It is known that the minimum number of moves required for checkmate is 2 moves (4 half moves) resulting in a victory for Black. However, what is the minimum number of moves required for stalemate? Clearly, this would take a lot more moves since no piece from one party must be able to move, thus it must either be captured, pinned or completely blocked.
Sam Loyd, a famous puzzle composer, created this 10 move, 19 ply, stalemate game over 100 years ago. I found it via Google, in this post by AndersElborg on chess.com. Most black pieces are blocked, which saves some moves because those pieces don't need to be captured.
[FEN ""] [StartPly "19"] 1.e3 a5 2.Qh5 Ra6 3.Qxa5 h5 4.h4 Rah6 5.Qxc7 f6 6.Qxd7+ Kf7 7.Qxb7 Qd3 8.Qxb8 Qh7 9.Qxc8 Kg6 10.Qe6