I used WAR to determine these players, using both for single season and career.

AL

AL EAST

NEW YORK YANKEES

SP Whitey Ford

CP Mariano Rivera

C Yogi Berra

1B Lou Gehrig

2B Robinson Cano

SS Derek Jeter

3B Alex Rodriguez

LF Charlie Keller

CF Mickey Mantle

RF Babe Ruth

DH Jason Giambi

BOSTON RED SOX

SP Pedro Martinez

CP Jonathan Papelbon

C Carlton Fisk

1B Jimmie Foxx

2B Dustin Pedroia

SS Nomar Garciaparra

3B Wade Boggs

LF Ted Williams

CF Tris Speaker

RF Mookie Betts

DH David Ortiz

BALTIMORE ORIOLES

SP Jim Palmer

CP Zack Britton

C Chris Hoiles

1B Eddie Murray

2B Bobby Grich

SS Cal Ripken Jr.

3B Brooks Robinson

LF Ken Williams (SLB)/B.J. Surhoff (if only BAL)

CF Paul Blair

RF Frank Robinson

DH Aubrey Huff

TAMPA BAY RAYS

SP David Price

CP Fernando Rodney

C Dioner Navarro

1B Carlos Pena

2B Ben Zobrist

SS Jason Bartlett

3B Evan Longoria

LF Carl Crawford

CF Kevin Kiermaier

RF Ben Zobrist

DH Jose Canseco

TORONTO BLUE JAYS

SP Roger Clemens

CP Tom Henke

C Ernie Whitt

1B Carlos Delgado

2B Roberto Alomar

SS Tony Fernandez

3B Josh Donaldson

LF George Bell

CF Devon White

RF Jose Bautista

DH Paul Molitor

AL CENTRAL

MINNESOTA TWINS

SP Walter Johnson (WSH)/Bert Blyleven (if only MIN)

CP Joe Nathan

C Joe Mauer

1B Rod Carew

2B Rod Carew

SS Joe Cronin (WSH)/Roy Smalley (if only MIN)

3B Corey Koskie

LF Shane Mack

CF Kirby Puckett

RF Tony Oliva

DH Paul Molitor

DETROIT TIGERS

SP Hal Newhouser

CP Willie Hernandez

C Bill Freehan

1B Hank Greenberg

2B Charlie Gehringer

SS Alan Trammell

3B Miguel Cabrera

LF Bobby Veach

CF Ty Cobb

RF Al Kaline

DH Victor Martinez

CHICAGO WHITE SOX

SP Ed Walsh

CP Bobby Thigpen

C Carlton Fisk

1B Frank Thomas

2B Nellie Fox

SS Luke Appling

3B Robin Ventura

LF “Shoeless” Joe Jackson

CF Chet Lemon

RF Magglio Ordonez

DH Frank Thomas

CLEVELAND INDIANS

SP Bob Feller

CP Cody Allen

C Victor Martinez

1B Jim Thome

2B Nap Lajoie

SS Lou Boudreau

3B Al Rosen

LF Albert Belle

CF Tris Speaker

RF “Shoeless” Joe Jackson

DH Travis Hafner

KANSAS CITY ROYALS

SP Bret Saberhagen

CP Dan Quisenberry

C Salvador Perez

1B John Mayberry

2B Whit Merrifield

SS Freddie Patek

3B George Brett

LF Willie Wilson

CF Amos Otis

RF Jermaine Dye

DH Hal McRae

AL WEST

OAKLAND ATHLETICS

SP Rube Waddell (PHA)/Vida Blue (if only OAK)

CP Dennis Eckersley

C Mickey Cochrane (PHA)/Gene Tenace (if only OAK)

1B Jimmie Foxx (PHA)/Jason Giambi (if only OAK)

2B Eddie Collins (PHA)/Mark Ellis (if only OAK)

SS Bert Campaneris

3B Home Run Baker (PHA)/Josh Donaldson (if only OAK)

LF Rickey Henderson

CF Al Simmons (PHA)/Dwane Murphy (if only OAK)

RF Reggie Jackson

DH Erubiel Durazo

SEATTLE MARINERS

SP Randy Johnson

CP J. J. Putz

C Dan Wilson

1B John Olerud

2B Robinson Cano

SS Alex Rodriguez

3B Edgar Martinez

LF Phil Bradley

CF Ken Griffey Jr.

RF Ichiro Suzuki

DH Edgar Martinez

TEXAS RANGERS

SP Charlie Hough

CP John Wetteland

C Ivan Rodriguez

1B Mark Teixeira

2B Ian Kinsler

SS Alex Rodriguez

3B Adrian Beltre

LF Josh Hamilton

CF Josh Hamilton

RF Ruben Sierra

DH Milton Bradley

HOUSTON ASTROS

SP Roger Clemens

CP Billy Wagner

C Craig Biggio

1B Jeff Bagwell

2B Craig Biggio

SS Carlos Correa

3B Alex Bregman

LF Luis Gonzalez

CF Cesar Cedeno

RF Lance Berkman

DH Yordan Alvarez

LOS ANGELES ANGELS

SP Nolan Ryan

CP Francisco Rodriguez

C Brian Downing

1B Albert Pujols

2B Bobby Grich

SS Jim Fregosi

3B Troy Glaus

LF Brian Downing

CF Mike Trout

RF Tim Salmon

DH Brian Downing

NL

NL EAST

ATLANTA BRAVES

SP Kid Nichols (BSN)/Greg Maddux (if only ATL)

CP Craig Kimbrel

C Joe Torre

1B Freddie Freeman

2B Tony Cuccinello (BSN)/Marcus Giles (if only ATL)

SS Rabbit Maranville (BSN)/Rafael Furcal (if only ATL)

3B Eddie Matthews (MLN)/Chipper Jones (if only ATL)

LF Sid Gordon (BSN)/Chipper Jones (if only ATL)

CF Dale Murphy

RF Hank Aaron

PHILADELPHIA PHILLIES

SP Pete Alexander

CP Jonathan Papelbon

C Darren Daulton

1B Dolph Camilli

2B Chase Utley

SS Jimmy Rollins

3B Mike Schmidt

LF Billy Hamilton

CF Richie Ashburn

RF Bobby Abreu

MIAMI MARLINS

SP Kevin Brown

CP AJ Ramos

C J.T. Realmuto

1B Derrek Lee

2B Luis Castillo

SS Hanley Ramirez

3B Mike Lowell

LF Christian Yelich

CF Marcell Ozuna

RF Giancarlo Stanton

WASHINGTON NATIONALS

SP Max Scherzer

CP Chad Cordero

C Gary Carter (MON)/Wilson Ramos (if only WAS)

1B Andres Galarraga (MON)/Adam LaRoche (if only WAS)

2B Jose Vidro (MON)/Daniel Murphy (if only WAS)

SS Ian Desmond

3B Ryan Zimmerman

LF Tim Raines (MON)/Juan Soto (if only WAS)

CF Andre Dawson (MON)/Bryce Harper (if only WAS)

RF Bryce Harper

NEW YORK METS

SP Tom Seaver

CP John Franco

C Mike Piazza

1B Keith Hernandez

2B Edgardo Alfonzo

SS Jose Reyes

3B David Wright

LF Cleon Jones

CF Carlos Beltran

RF Darryl Strawberry

NL CENTRAL

MILWAUKEE BREWERS

SP Teddy Higuera

CP Rollie Fingers

C Jonathan Lucroy

1B Cecil Cooper

2B Paul Molitor

SS Robin Yount

3B Paul Molitor

LF Ryan Braun

CF Carlos Gomez

RF Christian Yelich

PITTSBURGH PIRATES

SP Ed Morris

CP Roy Face

C Jason Kendall

1B Elbie Fletcher

2B Johnny Ray

SS Honus Wagner

3B Bill Madlock

LF Barry Bonds

CF Andrew McCutchen

RF Roberto Clemente

CINCINNATI REDS

SP Noodles Hahn

CP Aroldis Chapman

C Johnny Bench

1B Joey Votto

2B Joe Morgan

SS Barry Larkin

3B Heinie Groh

LF George Foster

CF Vada Pinson

RF Frank Robinson

CHICAGO CUBS

SP Fergie Jenkins

CP Lee Smith

C Gabby Hartnett

1B Cap Anson

2B Ryne Sandberg

SS Ernie Banks

3B Ron Santo

LF Billy Williams

CF Hack Wilson

RF Sammy Sosa

ST. LOUIS CARDINALS

SP Bob Gibson

CP Bruce Sutter

C Yadier Molina

1B Albert Pujols

2B Rogers Hornsby

SS Ozzie Smith

3B Ken Boyer

LF Joe Medwick

CF Jim Edmonds

RF Stan Musial

NL WEST

LOS ANGELES DODGERS

SP Sandy Koufax

CP Kenley Jansen

C Mike Piazza

1B Dolph Camilli (BRO)/Steve Garvey (if only LAD)

2B Jackie Robinson (BRO)/Davey Lopes (if only LAD)

SS Pee Wee Reese (BRO)/Maury Wills (if only LAD)

3B Ron Cey

LF Zack Wheat (BRO)/Gary Sheffield (if only LAD)

CF Duke Snider (BRO)/Willie Davis (if only LAD)

RF Shawn Green

SAN FRANCISCO GIANTS

SP Christy Mathewson (NYG)/Juan Marichal (if only SFG)

CP Robb Nen

C Buster Posey

1B Willie McCovey

2B Jeff Kent

SS Art Fletcher (NYG)/Brandon Crawford (if only SFG)

3B Jim Ray Hart

LF Barry Bonds

CF Willie Mays

RF Mel Ott (NYG)/Bobby Bonds (if only SFG)

SAN DIEGO PADRES

SP Randy Jones

CP Trevor Hoffman

C Terry Kennedy

1B Adrian Gonzalez

2B Mark Loretta

SS Fernando Tatis Jr.

3B Ken Caminiti

LF Greg Vaughn

CF Cito Gaston

RF Tony Gwynn

ARIZONA DIAMONDBACKS

SP Randy Johnson

CP Jose Valverde

C Miguel Montero

1B Paul Goldschmidt

2B Ketel Marte

SS Nick Ahmed

3B Matt Williams

LF Luis Gonzalez

CF Chris Young

RF Justin Upton

COLORADO ROCKIES

SP Ubaldo Jimenez

CP Brian Fuentes

C Chris Iannetta

1B Todd Helton

2B DJ LeMahieu

SS Troy Tulowitzki

3B Nolan Arenado

LF Matt Holliday

CF Charlie Blackmon

RF Larry Walker