My homer pick is 1996 World Series, Game 4. Yankees 8, Braves 6 (10 Innings)
Braves go up 6-0 after 2 innings against Kenny Rogers, and the bullpen has to put in overtime to save the season as the Braves were up 2-1 in the Series. The Yanks chip away at the lead, and it's 6-3 after 6 innings. Then in the 8th, Bobby Cox starts the inning with Mark Wohlers who immediately gets into trouble with two runners on, and Jim Leyritz is sent to pinch hit. He fouls off pitch after pitch until connecting with a game tying three run homer to left field that effectively ended up ruining Wohlers' career. The Yanks would take the lead in the top of the 10th inning when Wade Boggs got a pinch hit, two out, bases loaded walk to tie up the Series at 2-2.
Edit: Here's the box score from Retrosheet