Brady's 4th Quarter comeback opportunities:

2009:

BUF: Down 24-13 with 5:38 remaining, Patriots score a TD with 2:10 remaining (conversion fails). 24-19. Buffalo fumbles ensuing kickoff at own 31, and Brady throws a TD with 0:55 left (conversion fails). 25-24.
@NYJ: Down 16-9 in the 4th, the Patriots are unable to score, despite multiple drives.
@DEN: Tied 17-17, 4 consecutive drives by the Patriots and Broncos stall, and in OT, Denver gets the ball and scores.
@IND: Colts score go-ahead TD with 0:16 remaining to take 35-34 lead.
@MIA: Dolphins kick go-ahead FG with 1:07 remaining. Brady is intercepted with 0:42 remaining.
@HOU: Tied at 27, Brady throws an interception and gets knocked out of the game. Texans score go ahead TD with 2:00 left.

2010:

@NYJ: Down 21-14 in the 4th, Brady throws an interception, followed by a Patriots stop, then a failed Patriots drive, then a Jets TD with 6:16 left, and another failed Patriots drive to end the game.
BAL: Down 20-17, Patriots kick a tying FG with 1:54 to go. Patriots get a stop with 0:59 left, but Brady throws an interception at the end of regulation. In OT, the Ravens get the ball, but are stopped. There are 4 more stops, and the Patriots finally get the winning FG on the following drive.
GB: Down 27-24 with 9:38 remaining, Brady throws a TD with 7:19 to go. Packers are stopped twice more to preserve the lead.

2011:

@BUF: Down 31-24 because of a Brady pick-6 with 10:32 to go, the Patriots drive to tie the game with 3:33 remaining. Bills drive and kick winning FG with 0:03 left.
DAL: Down 16-13 with 2:31 to go, the Patriots drive, capped off by a Brady TD pass 0:27 remaining.
@PIT: Steelers are up 23-17 and give the ball back to the Patriots with 0:28 to go. Brady suffers a safety.
NYG: Down 17-13 with 3:07 remaining, the Patriots drive and throw a TD with 1:40 to go. Giants then come back and score a TD with 0:19 left.

Playoffs:
BAL: Down 20-16, the Patriots score a TD with 11:33 to go. The Patriots make 3 stops (lucky ones with Lee Evans and the Cundiff miss).
NYG: Giants score to grab a 21-17 lead with 1:04 remaining. The Patriots run out of time.

2012:

AZ: Up 20-18, Cardinals fumble at own 30 with 1:10 to go. Patriots miss FG with time running out.
@SEA: Down 24-23 with 1:14 to go, the Patriots turn it over on downs.
NYJ: Down 26-23 with 1:32 to go, the Patriots tie with 0:05 to go, kick another FG on the first possession in OT, and stop the Jets.
SF: Patriots manage to tie at 31, with 6:45 to go. 49ers score TD on next drive, Patriots punt, 49ers punt, Patriots punt, 49ers kick a FG, Patriots kick a FG, and time runs out.

Playoffs:

BAL: Ravens take a 20-13 lead at the beginning of the 4th. Patriots are forced to punt on the following drive, and the Ravens score another TD in response. The Patriots next 3 drives are unsuccessful.

2013:

@BUF: Down 21-20 with 4:31 to go, the Patriots drive to kick the winning FG with 0:09 remaining.
@CIN: Down 13-6 with 3:26 remaining, the Patriots fail to score on two drives.
@NO: Down 27-23 with 1:13 to go, Brady throws a TD with 0:10 to go.
@NYJ: Down 27-24 with 2:10 to go, the Patriots kick a FG with 0:19 remaining to force OT. Patriots forced to punt in OT, and the Jets drive and kick the game winner.
@CAR: Down 17-10, the Patriots tie with 12:37, and take the lead with 6:36. Carolina then scores TD with 1:09 left, and Brady throws interception with 0:03 to go.
DEN: Down 24-21, the Patriots score a TD with 13:21 to go, adding a FG with 7:41 to go. Broncos tie with 3:10 to go. The following 5 Patriots and Broncos drives stall (3 in OT), and then Patriots score winning FG.
@HOU: Down 31-28, Patriots tie with 7:21 left, get a stop, and kick another FG with 3:15 to go. Patriots get another stop to end the game.
CLE: After scoring a TD to cut lead to 26-21, Patriots win onside kick with 1:04 remaining, and score a TD with 0:35 to go.
@MIA: Down 17-13, Patriots score TD with 4:14 to go. Dolphins score TD with 1:21. Brady throws interception at Dolphins 14 with 0:07 left.

2014:

@MIA: Down 23-20 in the 4th quarter, two Patriot drives stall, allowing the Dolphins to score again, putting the game out of reach.
@GB: Down 26-21, the Patriots are stopped.
@SD: Down 14-13, the Patriots kick a FG with 10:34 left. After a defensive stop, the Patriots add a TD with 8:53 to go. Patriots get two more stops to preserve the win.
@NYJ: Down 13-10, the Patriots score a TD with 13:56 to go. Jets kick a FG to cut it to 17-16. Brady throws an INT, and the Patriots block the ensuing FG. Patriots run out the clock.

Playoffs:
BAL: Down 31-28 with 10:10 to go, the Patriots score a TD with 5:21 left. Patriots get a stop and another on a Hail Mary.
SEA: Down 24-14 with 12:10 remaining, the Patriots score a TD with 8:00 to go, get a stop with 6:52 left, and score another TD with 2:06 to go. Patriots defense gets one last stop.

Analysis to follow.