From Reddit:

This has always been one of my favorite parts of wrestling. Seeing wrestlers kick out of credible finishers, with no/minimal delay between the finish of the move and the pin (due to an incapacitated referee or a wrestler "crashing" due to fatigue after using his finisher).

To be honest, this isn't what it might look like-- a list of the best matches in which one can find at least a single false finish. I intend this to be more about discovering/discussing which finishers are most credible, and/or which wrestlers have the (kayfabe) durability to survive the most effective finishers of the last decade-plus.
This list is going mostly off of memory, with me going back to find video to confirm and make sure I'm right. Others are free to contribute by correcting mistakes on my part, listing occurrences I missed, telling me any finishers you think should be added, or anything else that you feel might add to the thread.

I also included some instances of "No-selling," where a wrestler takes a finisher, and immediately recovers, usually to apply a ground-based submission (Undertaker's Hell's Gate, Lesnar's Kimura Lock, etc). I understand that this is very much a judgment call, so I'll listen to any and all opinions regarding this aspect of this list.

I'll post links to as many videos of each occurrence as I can, but for now, I'll leave it as is until I see how well-received this thread is. I apologize to anyone who might want video of the below instances.

Sweet Chin Music:

Undertaker:
WrestleMania 25 (x2)
WrestleMania 26 (x2)

Pedigree:

Undertaker:
WrestleMania 27 (x3)
WrestleMania 28 (x2)
2009 No Way Out

Jeff Hardy:
2008 No Way Out

Brock Lesnar:
2012 SummerSlam
2012 SummerSlam (no-sell)

Steve Austin:
2001 No Way Out

John Cena:
October 19, 2009 Raw

CM Punk:
2011 Night of Champions

Tombstone Piledriver:

Undertaker:
WrestleMania 27
2010 Hell in a Cell

Triple H:
WrestleMania 27
WrestleMania 28
Shawn Michaels:
WrestleMania 25
WrestleMania 26

Batista:
2007 Survivor Series
Stone Cold Stunner:

The Rock:
WrestleMania X-7 (x2)
WrestleMania 19

Undertaker:
2001 Judgment Day

Kurt Angle:
2001 SummerSlam (x2)

Attitude Adjustment:

CM Punk:
2012 Night of Champions (x2)
2011 Money in the Bank
2011 SummerSlam

The Miz:
WrestleMania 27

Triple H:
October 19, 2009 Raw
Triple H, WrestleMania 22

The Rock:
WrestleMania 28 (x2)

Batista:
WrestleMania 26

Randy Orton:
2009 Hell in a Cell

Wade Barrett:
2010 Hell in a Cell

RKO:

Undertaker:
WrestleMania 21

Kane:
July 22, 2011 SmackDown

John Cena:
2009 Hell in a Cell

Mark Henry:
2011 Hell in a Cell

Go To Sleep:

John Cena:
2012 Night of Champions (x2)
2011 SummerSlam

Jeff Hardy:
2009 Extreme Rules

Last Ride:

Shawn Michaels:
WrestleMania 25
WrestleMania 26

Batista:
WrestleMania 23

Triple H:
WrestleMania 27

F-5:

Kurt Angle:
WrestleMania 19

Goldberg:
WrestleMania XX

Triple H:
2012 SummerSlam

Clothesline From Hell:

John Cena:
2009 Royal Rumble

Batista Bomb:

John Cena:
WrestleMania 26

Undertaker:
WrestleMania 23
2007 Cyber Sunday

Spear (Edge):

Jeff Hardy:
2009 Royal Rumble

Undertaker:
WrestleMania 24
WrestleMania 24 (no-sell)

John Cena:
2006 New Year's Revolution

Chris Jericho:
2010 Extreme Rules

Chokeslam (Kane):

Randy Orton:
2012 Extreme Rules

Undertaker:
2010 Hell in a Cell
2010 Night of Champions
WrestleMania XX

KO Punch (Big Show):

Sheamus:
2012 Hell in a Cell

Brogue Kick:

Big Show:
2012 Hell in a Cell

I'm dead sure that Hunter kicked out of one (if not two) Sweet Chin Musics in his Hell in a Cell match against HBK at Bad Blood 2004, and equally certain that Shawn kicked out of a Pedigree in that same match.

I'm also pretty sure that Dragon kicked out of an Attitude Adjustment at Survivor Series.

Big Red Machine wrote:I'm dead sure that Hunter kicked out of one (if not two) Sweet Chin Musics in his Hell in a Cell match against HBK at Bad Blood 2004, and equally certain that Shawn kicked out of a Pedigree in that same match.

I'm also pretty sure that Dragon kicked out of an Attitude Adjustment at Survivor Series.

i'm not sure how they're measuring the sweet chin music, if just the kick or the whole finisher including the boot stomping, because then i think Flair kicked out of at least one in the retirement match

on the Dragon, i think you mean Summerslam

The only person I know for sure that's kicked out of Hogan's Leg Drop is The Ultimate Warrior. I'm sure there's more...

Bob-O wrote:The only person I know for sure that's kicked out of Hogan's Leg Drop is The Ultimate Warrior. I'm sure there's more...

Rock should have kicked out at WM. but Bob-O, title says 'credible' finishers

cero2k wrote:

Bob-O wrote:The only person I know for sure that's kicked out of Hogan's Leg Drop is The Ultimate Warrior. I'm sure there's more...

Rock should have kicked out at WM. but Bob-O, title says 'credible' finishers

I can't image that Sting, Savage, and Flair haven't kicked out of it.

Sheamus also kicked out of the WMD at TLC 2012

cero2k wrote:

Bob-O wrote:The only person I know for sure that's kicked out of Hogan's Leg Drop is The Ultimate Warrior. I'm sure there's more...

Rock should have kicked out at WM. but Bob-O, title says 'credible' finishers

Yeah, but he invalidated that with the inclusion of The Attitude Adjustment.