People like to say "you make your own luck" but as much as I wrack my brain I can't think of any way that Brady made Denver muff a punt in OT while Peyton failed to make NE do the same, or anything that Brady did to make all those kickers miss those kicks against him in the playoffs while Peyton failed to make the kickers miss against him. I dunno, maybe Brady is just really good at yelling Baseketball style psycho-outs from the sideline and Peyton is terrible at it.
Let's look at some examples.Was Manning unlucky that Brady led the Patriots to 31 straight points? Moleculo will point out that Ball's fumble had a huge impact on the game. That was bad luck! But the Patriots certainly had their share of bad luck, with four fumbles in their first four drives, including three recovered by the defense, one of which was returned for a touchdown. In fact, both teams turned the ball at a rate commensurate to their touches. That's not luck, that's just statistics. The way in which it happened may lead you to believe it was bad luck, but the only reason the Patriots were in position to take advantage of the Broncos' mistake was because Brady came out slinging the ball in the second half. Similarly, if Manning hadn't been content to hand the ball off every down, the Patriots would never have had a chance to recover that ball. So yes, they did make their own luck.
Let's go back to the tuck rule game. The Patriots were lucky that Vinatieri made that field goal to send the game into overtime, but they didn't win that just because they had a lucky kick. Brady still had to complete a 13 yard pass to David Patten to line up the 45 yard kick. And after the Patriots made the kick, the Raiders got the ball bac with 30 seconds left, but decided to kneel on the ball and go to overtime. Understandable. In overtime, Brady went 8 for 8 throwing the ball, and on 4th and 4 from the 28, he could have lined Vinatieri up for another 45 yard field goal attempt, but he didn't. Instead, he threw the ball to Patten for six yards, drove them closer, and Vinatieri won the game on a 23 yard field goal. So yes, the 45 yard field goal in the snow was an incredible play, and Brady was lucky to have a possible hall of fame kicker on his team. But to diminish the whole thing as a couple lucky kicks? That's not really doing justice to what actually happened in the game.
Now let's look at Manning in the 2005 AFCCG. This is one of your examples of bad luck, where his kicker failed to win the game for him. Here's the drive charts:
1) 1st and 10 at IND 20 (6:03) (Shotgun) P.Manning pass to R.Wayne to IND 44 for 24 yards (B.McFadden).
1st and 10 at IND 44 (5:33) (Shotgun) P.Manning pass intended for B.Fletcher INTERCEPTED by T.Polamalu at 50. T.Polamalu to 50 for no gain. FUMBLES, touched at PIT 48, and recovers at PIT 48. T.Polamalu to PIT 48 for no gain (J.Saturday).
Play Challenged by IND and REVERSED. <--
NFL Admits it should not have been overturned
(Shotgun) P.Manning pass incomplete to B.Fletcher (T.Polamalu).
2nd and 10 at IND 44 (5:26) (Shotgun) P.Manning pass to D.Clark to PIT 47 for 9 yards (I.Taylor).
3rd and 1 at PIT 47 (5:02) (Shotgun) P.Manning pass to M.Harrison to PIT 27 for 20 yards (T.Carter).
1st and 10 at PIT 27 (4:35) (Shotgun) P.Manning pass to R.Wayne ran ob at PIT 3 for 24 yards (T.Carter).
1st and 3 at PIT 3 (4:29) E.James up the middle for 3 yards, TOUCHDOWN. 21 18
(Pass formation) PENALTY on IND-R.Diem, False Start, 5 yards, enforced at PIT 2 - No Play.
(Pass formation) TWO-POINT CONVERSION ATTEMPT. P.Manning pass to R.Wayne is complete. ATTEMPT SUCCEEDS. 21 18
J.Cortez kicks 69 yards from IND 30 to PIT 1. I.Taylor to PIT 19 for 18 yards (R.Mathis, R.Morris).
And just like that, it's 21-18! But with less than five minutes left in the game, things were looking bleak... until the Colts forced a three and out and got the ball back for Manning! And look what he did with it!
1st and 10 at IND 18 (2:31) (Shotgun) P.Manning pass to E.James to IND 20 for 2 yards (K.von Oelhoffen).
2nd and 8 at IND 20 (2:00) (Shotgun) P.Manning sacked at IND 12 for -8 yards (J.Porter).
3rd and 16 at IND 12 (1:33) (Shotgun) P.Manning pass incomplete to B.Stokley.
4th and 16 at IND 12 (1:27) (Shotgun) P.Manning sacked at IND 2 for -10 yards (sack split by J.Porter and J.Farrior).
OK, well, that was obviously his line's fault. And he would criticize them the next day for it, too. Because he's a leader. But wait - the Steelers gave him new life.
1st and 2 at IND 2 (1:20) J.Bettis up the middle to IND 4 for -2 yards (G.Brackett). FUMBLES (G.Brackett), RECOVERED by IND-N.Harper at IND 7. N.Harper to IND 42 for 35 yards (B.Roethlisberger, J.Tuman).
Are you kidding me? The game was over! What a lucky break! And it wasn't just a little lucky - the field position went from the 2 yard line to the 42! So here's what Manning does.
1st and 10 at IND 42 (1:01) P.Manning pass to R.Wayne to PIT 36 for 22 yards (B.McFadden, T.Polamalu).
1st and 10 at PIT 36

39) P.Manning pass to M.Harrison to PIT 28 for 8 yards (I.Taylor).
2nd and 2 at PIT 28

31) (Shotgun) P.Manning pass incomplete to R.Wayne (B.McFadden).
3rd and 2 at PIT 28

25) (Shotgun) P.Manning pass incomplete to R.Wayne.
Now, you can't really blame him for throwing incomplete on 2nd and 2. He was trying to advance the ball. But on 3rd and 2, with 25 seconds and two timeouts left, Manning didn't try to pick up the first down. He threw it deep in the end zone and left his kicker with a 46 yard attempt. Which he missed. Because Manning's unlucky with kickers. Not because of anything else he did, or any good luck he had along the way.
So yes, some people say you make your own luck. I'm one of them. And I firmly believe that Manning's tendency to experience bad luck isn't entirely the result of being in the wrong place at the wrong time.