In 1964, for ChessWorld Magazine, Robert James Fischer was asked to name the Top 10 Best Chess Players in the world.
Here is his list (in alphabetical order) of those players:
Alexander Alekhine, José Capablanca, Paul Morphy, Samuel Reshevsky, Boris Spassky, Howard Staunton, Wilhelm Steintz, Mikhail Tal, Siegbert Tarrash, and Mikhail Tchigorin.
Paul Morphy 1887 - 1884
Fischer said: Perhaps the most accurate player who ever lived. He had complete sight of the board and seldom blundered even though he moved quite rapidly. I've played over hundreds of his games and am continually surprised and entertained by his ingenuity. A popularly held theory about Paul Morphy, is that if he returned to the chess world today and played our best contemporary players, he would come out the loser. Nothing is further from the truth. In a set match, Morphy would beat anybody alive today.
Here are 2 short games by Paul Morphy, the 2nd being one of the most played-over games in the history of chess:
“A Night at the Opera”