1. Capablanca
2. Kasparov
3. Karpov
4. Tal
5. Fischer
I think that the greatest chess player of all time is...Viktor Korchnoi. He has the LOVE!! He reminds me of Jimmy Connors, the great tennis champ, who played much longer competitively than his contemporary challengers (McEnroe, Borg) and always came to the court with fire in his belly. Can any professional now alive say they've played more tournament games than Korchnoi? It's probably not even close. He was Karpov's equal--while playing under extraordinarily trying circumstances (unlike Karpov, who enjoyed the good life).
Chess GOAT = Bobby Fischer
Tennis GOAT = Roger Federer
Hm, looks like that was a baker's 5.