Although Bobby Fischer was a fantastic chess player, I believe he had more influence on the game of chess outside of his gameplay.
He invented two HUGE things that helped chess.
1) Chess960: This literally is a gamechanger. I mean literally. He changed the way the game was played, and people actually regularly use this.
2) The time bonus after a move. I mean, this is used everywhere.
Sure, there were ideas that were similar to Fischer's before he came up with these ideas. But he made them so much better.
And for that, he's the most influential chess player of all time.
Bronstein came up with those ideas before, in a different way. Kasparov used to think that Fischer's variants prevailed because he was a WC, but later he decided it was mainly because they were more simple.
Josephyossi, I am honored to hold that title, not sure if being serious? EscherehsE explained it what I meant