Karpov-Kortchnoi
Capablanca-Alekhine
Capablanca-Marshall
Tal Botvinnik
For just sheer number of games they have played , and their importance, no rivalry will top the one between Kasparov and Karpov. They played over 180 games against each other !
Few other rivalries have 100 , or more, games between the two rivals. Karpov/Korchnoi does and so does Botvinnik/Smyslov. So Karpov has rivalries with two players that both involve more than 100 games ! Amazing !
Definition is probably needed. What makes a great rivalry? Level of players, number of games, personal animosity? A great rivalry might be Morphy-Staunton although no games were played! If one looks at the national/regional/state levels there are many such rivalries. Most of what we are listing, however, seems to require a World Champion. Steintz-Zukertort?
What do you guys think are some of the greatest chess rivalries of all time between two players? I can think of a few...
Kasparov - Karpov
Fischer - Spassky
Lasker - Steinitz
Botvinnik - Smyslov
I'd like to see some you can come up with...