If you want to check who the top-rated players are, you can find a list on Chess.com, with live updates!
Hover over News in the left menu, then click on Chess Rankings:
Here you can see who the top players in the world are, updated with every change in rating - The rankings are organized by Classical rating by default. Click on Rapid or Blitz to see the top players organized in these categories:
The ratings listed here are official FIDE ratings, not the player's Chess.com rating.
You can also click on each player's name to see their full profile and stats, and to read their bio:
