Stafford's first-period goal gave the Sabres a 2-0 lead. His second tally late in the middle frame extended the margin to 5-1, helping Buffalo post its seventh straight home win over Toronto.
The Maple Leafs pulled rookie goalie James Reimer after he let in five goals on 30 shots. Jean-Sebastien Giguere came in and made 12 saves the rest of the way.
Toronto got markers from Francois Beauchemin and Nikolai Kulemin.