Whoa, I guess I'm psychic (see #181).
5 Best Players of All Time
I think:
1. Robert James Fischer
2. Gary Kasporov
3. Boris Spassky
4. Josh Waitzkin
5. Lary Christiansen

morphy--> if he had studied modern chess .. .. .. the "first modern chess player"
fisher
kasparov
Capablanca
carlsen magnus
tal .. a like the chess style ..
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
Many people rate Tal, Fischer and Alekhine etc. highest because of their dynamic styles that make attractive games. I myself am one of them, my favorite player is Tal. That being said, positional and perhaps better players do not often appear on people's list. I, for one, think that Capablanca should be on the top five on any list. Just something to consider.
My top 5 in no particular order
1. Mikhail Tal
2. Garry Kasparov
3. Jose Raul Capablanca
4. Alexander Alekhine
5. Emanuel Lasker