Alexander Alekhin pretty much put to rest the idea that Capablanca was the greatest endgame player of his generation, let alone of all time. Akiba Rubinstein was a better endgame player than Capa was. Capa was just better at getting into the won endgames in the first place.
Take a look at these few games:
And this is one of the most famous rook endings of all time. Alekhin's technique was brilliant here!
Here's one B vs N endgame that Karpov won against Kasparov. This may be the one you mean. Start after Black's 44th move for the critical endgame.
Oh, you mean Team Karpov is one of the great endgame "players" of all time. I thought you were saying that Karpov the individual was a great endgame player. Karpov the individual avoids a critical position until after the adjournment (move 40). After the adjournment Karpov gets a good night sleep while his team of crack endgame specialists analyze the game and find the 44th move. There is no risk taking here because the seconds had all night to work it out. That is also the way Team Karpov operated against Krochnoi, avoid a critical position until after the adjournment. You will notice a distinct reduction in Karpov brilliant endgames after they did away with adjournments.
Karpov's skills declined when they did away with adjournments because they did away with adjournments in the 1990s. Karpov was world champion in the 1970s and 1980s. Everybody's endgame skills went down when they did away with adjournments.
Karpov still managed to dominate the likes of Jan Timman in the endgames even in games played without adjournments. His skills diminished due to age, not changes in the rules.
Here's just one example of Karpov's endgame play without an adjournment. The set focus button didn't work again. Start at move 29.
Hmm, saying Karpov wasn't an exceptional endgame player is like saying Michael Jordan was like average in Basketball.
Hmm, saying Karpov wasn't an exceptional endgame player is like saying Michael Jordan was like average in Basketball.
No one is saying that Karpov isn't a good end game player (even by grandmaster standards), but to say he is one of the greatest of all times and support this assertion with games that were worked out by his seconds during adjournments is a bit of a stretch. I don't think Karpov is in the same class as Andersson or Rubinstein.
Alexander Alekhin pretty much put to rest the idea that Capablanca was the greatest endgame player of his generation, let alone of all time.
From everything I've read on the subject, Alekhine barely edged out Capablanca in that match, and Capa was not in his best form. I don't know if you can use just a few examples to make your point there. Anything can happen in a few games, even the best players can blunder due to something as simple as lack of focus. I seem to recall you saying something like every modern GM can play the endgame like Capablanca (correct me if I'm wrong)? Maybe you underestimate Capablanca's endgame skill? I don't know.
I think that just about any player currently rated +2700 can play the endgame better than Capablanca did in his day. Capablanca's strength was not in the technical phase of the game, but in recognising long before his opponents did what endgames were favorable to him.
Capablanca's endgame technique wasn't even the best of his generation. That honor goes to Rubinstein. Since then, just about all top GMs have improved their endgame technique far beyond even that of Rubinstein.
Interesting. I'm in no position to argue, but I wonder if IMs and GMs would agree with you.
The idea that endgame technique has improved dramatically since World War II isn't coming from me, but from IMs and GMs. I'd rather not mention names without their permission though.
Having said that, just take a look at books such as John Watson's Secrets of Modern Chess Strategy: Advances Since Nimzovich.
http://en.wikipedia.org/wiki/Nikolay_Grigoriev: he was a very good chess player too.
The idea that endgame technique has improved dramatically since World War II isn't coming from me, but from IMs and GMs.
Oh I'm sure it has, but still, the claim that all modern 2700s are better than Capablanaca in the endgame goes beyond that.
About two years ago, I would have said it was Vladimir Kramnik. But the things that Magnus Carlsen can do in completely even endgames is mindboggling.
Historically, Rubinstein, Smyslov, Andersson and Jon Speelman all deserve special recognition.
If Smyslov fan does not believe Smyslov was the best, then he probably isn't. Just my guess 
Magnus Carlsen's endgame skills are absolutely mind boggling. He is neither a virtuoso like Smyslov nor a machine like Capablanca nor a squeezer like Karpov. He is a very optimistic judgemental player (he immediately judges a position and most likely makes the move that he thinks is right in the first few seconds of thought, even after several minutes of thought) based on unbelievable ability to calculate and his feeling for the position. In that sense he is a lot similar to Anand or Fischer than Capa with whom his endgame skills are usually compared to. I might be babbling nonsense here, but just a thought!
Regarding Capablanca, I believe his strength lies in the ability to view the essential features of a position and its proper plan. This is why he was always able to reduce the position to its bare essentials and made his opponents play like patzers. This ability made him a good middlegame and endgame player, but not necessarily the best of all time in either phase of the game.
Although Carlsen is talented and often compared to Capablance, I believe they both play differently. Carlsen has more tenacious energy. He plays to win at all time. On the other hand, Capablanca was more objective. He did not bluff or second guess. When the position was winning, Capa played to win. When the position was equal or worse, Capa played to draw (where given the same position Carlsen may still fight for a win).
Don´t forget Fisher. Never forget Fisher when you talk about any aspect of chess!
I haven't seen Smyslov or Andersson's games, but what Carlsen does is probably unparalleled
The greatest endgame players of all time IMHO inc most of the modern World Champions beginning with Lasker on up and maybe excluding Euwe and Tal, who were no slouches in the endgame either but probably not on a par with Smyslov, Fischer, Capablanca, Lasker and most of the other modern WCHs.
Among other GMs Akiba Rubinstein is considered to be one of the greatest endgame players ever, esp. excelling in R+P endgames. Geza Maroczy was also considered to be an outstanding endgame player who excelled in Q+P endgames. According to IM Silman (and many others) Bobby Fischer was one of the greatest endgame players ever and is particularly notable for his B+P endings, although Silman is the only source I know of for this interesting nugget.
I dont buy SmyslovFan's argument Alekhine was any better at endgames than Capablanca, who did the best he (or anyone else) could do in lost endgames vs Alekhine in their 1927 WCH, which were by and large a result of being outplayed in the openings and/or middlegames. An examination of Alekhine's papers after his death in 1946 revealed an unfinished manuscript he was working on - a collection of his arch-rival Capablanca's games, not his own!
Capablanca was snatched too early from the chess world. With his death we have lost a great chess genius, the like of whom we will never see again. ALEKHINE
FUN FACT: Capa's lifetime record vs Alekhine is +11 -7 =32 (3 of Capa's wins were exhibition games, the rest are tnmt and match games) Aside from the 1927 WCH Alekhine only beat Capa once, at AVRO in 1938
Shameless self-promotion dept: Check out my blog on Capablanca - Alekhine, Nottingham 1936 with a very unusual 2 rook vs 3 minor piece ending:
http://www.chess.com/blog/NimzoRoy/3-minor-pieces-vs-2-rooks
Capablanca