The best fielder for every position in each league is awarded the Gold Glove award. This is voted on by players, coaches, managers, and media. This would be a good judge of "who is the best fielder" any other answer on here woudl be a personal opinion, more then likely based on the team the person likes.
Shane Victorino
Matt Holliday
James Anderson
mess
Babe Ruth
Jonty Rhodes
willie mays
Ichiro Suzuki
Carles Puyol
In cricket it is the South African Jhonty Rhodes.
Roberto Clemente, hands down.
Right Fielder, Center Fielder, and Left Fielder.