One of my favorite Ortiz moments came in the 2004 ALCS, not in Game 4 or 5 but in the first inning of Game 7.
With Damon on 2nd and 1 out, Manny singled, but Damon got thrown out at the plate. It was one of those 'oh no, here we go' moments for Sox fans, and the Yankee fans were whooping it up in the stands. Up steps Ortiz and on the first pitch he smokes one into the right field seats and quickly wipes the smile off all the Yankee fans' faces.