Heck - I'm retired and have time to burn. I'll give it a go.
Core
CA: 92 Joe Mauer 2HH
1B: 90 Buck O'Neil SG
2B: 99 Ozzie Albies 23F
3B: 89 Wade Boggs 2HH
SS: 99 Corey Seager Kaiju
LF: 89 Lou Brock PS
CF: 91 Mike Trout LS
RF: 99 Sammy Sosa AW
DH: 94 Mickey Mantle BR
BENCH 1: 89 Ivan Rodriguez VET
BENCH 2: 95 Jimmy Rollins Captain
BENCH 3: 93 Honus Wagner VET
BENCH 4: 89 Alfonso Soriano AS
SP 1: 96 Shohei Ohtani LS
SP 2: 95 Jacob deGrom LS
SP 3: 95 Pedro Martinez Captain
SP 4: 92 J.R. Richard Captain
SP 5: 91 Spencer Strider LS
BP 1: 92 Tyler Rogers MC
BP 2: 87 Evan Phillips LS
BP 3: 86 Rob Dibble Captain
BP 4: 89 Nathan Eovaldi PS
BP 5: 82 Craig Kimbrel LS
BP 6: 82 Josh Sborz LS
BP 7: 96 Billy Wagner PR
BP 8: 89 Dennis Eckersley 2HH
Set 1
CA: 99 J.T. Realmuto WBC
1B: 99 Jeff Bagwell MS
2B: 97 Craig Biggio CH
3B: 99 Chipper Jones F
SS: 99 Fernando Tatis Jr CH
LF: 99 Rickey Henderson CH
CF: 99 Jazz Chisholm Jr. CH
RF: 97 Reggie Jackson CH
DH: 99 Joe Morgan CH
BENCH 1: 99 Brooks Robinson AW
BENCH 2: 99 Elly De La Cruz FS
BENCH 3: 99 Francisco Lindor WBC
BENCH 4: 99 Julio Rodrigez WBC
SP 1: 99 Bob Feller F
SP 2: 99 Pedro Martinez AW
SP 3: 99 Don Sutton ASG
SP 4: 99 Bob Gibson CH
SP 5: 99 Max Scherzer CH
BP 1: 97 Yennier Cano MA
BP 2: 95 Alex Young MA
BP 3: 95 Gregory Soto ASG
BP 4: 92 Andrew Chafin CH
BP 5: 91 Joe Kelly CH
BP 6: 90 Michael King TN
BP 7: 97 Lee Smith CH
BP 8: 98 Jose Alvarado MA
Set 2
CA: 99 Joe Mauer Kaiju
1B: 97 Double X (Jimmie Foxx) IN
2B: 99 Chase Utley Kaiju
3B: 97 George Brett Kaiju
SS: 99 Flying Dutchman (Honus Wagner) IN
LF: 97 The Franchise (Lou Brock) IN
CF: 99 Commerce Comet (Mickey Mantle) IN
RF: 99 Hammerin Hank (Hank Aaron) IN
DH: 97 The Iron Horse (Lou Gehrig) IN
BENCH 1: 97 Slamtana (Carlos Santana) IN
BENCH 2: 99 Ryno (Ryne Sandberg) IN
BENCH 3: 97 Mike Schmidt Kaiju
BENCH 4: 96 Chicken Man (Wade Boggs) IN
SP 1: 99 The Conductor (Chris Sale) IN
SP 2: 99 The Big Unit (Randy Johnson) IN
SP 3: 99 The Professor (Greg Maddux) IN
SP 4: 97 Blake Snell Kaiju
SP 5: 97 Corey Kluber Kaiju
BP 1: 95 Tanner Scott MA
BP 2: 94 Jhoan Duran TN
BP 3: 97 Wolf (Aaron Loup) IN
BP 4: 92 Jordan Balazovic TN
BP 5: 92 Isiah Kiner-Falefa TN
BP 6: 92 David Robertson Kaiju
BP 7: 99 Rich Gossage (Gooooooooooose!) Kaiju
BP 8: 97 John Franco Kaiju
Set 3
99 Adley Rutschman 23AS
1B: 99 Buck O'Neil JK
2B: 97 Craig Biggio MS
3B: 99 Rafael Devers AW
SS: 99 Elly De La Cruz MS
LF: 99 Randy Arozarena 23HRD
CF: 99 Cody Bellinger MA
RF: 99 Ronald Acuna Jr. 23AS
DH: 99 Mike Piazza ASG
BENCH 1: 99 Marcus Semien 23AS
BENCH 2: 99 Jose Ramirez 23AS
BENCH 3: 99 Jackie Robinson JK
BENCH 4: 99 Corbin Carroll 23AS
SP 1: 99 Martin Dihigo JK
SP 2: 99 Satchel Paige JK
SP 3: 99 Zac Gallen 23AS
SP 4: 99 Jacob deGrom AW
SP 5: 99 Shane McClanahan 23AS
BP 1: 98 Joel Payamps MA
BP 2: 97 Joe Jimenez MA
BP 3: 97 Yennier Cano 23AS
BP 4: 97 Josh Sborz MA
BP 5: 97 Brock Stewart MA
BP 6: 95 Taylor Rogers MA
BP 7: 99 Alex Diaz 23AS
BP 8: 97 Josh Hader 23 AS
Set 4
CA: 99 Johnny Bench AW
1B: 99 Jimmie Foxx MS
2B: 99 Bryson Stott 23PS
3B: 99 Mike Schmidt AW
SS: 99 Jeremy Pena AW
LF: 99 Rickey Henderson SN
CF: 99 Mike Trout MS
RF: 99 Sammy Sosa GR98
DH: 99 J.T. Realmuto 23PS
BENCH 1: 99 Harmon Killebrew SIG
BENCH 2: 99 Ryan Howard SN
BENCH 3: 99 Royce Lewis 23PS
BENCH 4: 99 Miguel Cabrera SIG
SP 1: 99 Tom Glavine GR98
SP 2: 99 Jordan Montgomery 23PS
SP 3: 99 Pablo Lopez 23PS
SP 4: 99 Brandon Pfaadt 23PS
SP 5: 99 Corey Kluber AW
BP 1: 99 Bryan Abreu 23PS
BP 2: 99 David Robertson SIG
BP 3: 98 Josh Sborz 23PS
BP 4: 98 Tyler Matzek PS
BP 5: 97 Brock Stewart 23PS
BP 6: 97 Tyler Wells 23PS
BP 7: 99 Ryan Helsley
BP 8: 99 John Franco GR98
Set 5
CA: 99 Francisco Alverez 23F
1B: 99 Kevin Youkilis F
2B: 99 Ketel Marte MS
3B: 99 Wade Boggs F
SS: 99 Jimmy Rollins F
LF: 99 Lou Brock F
CF: 99 Luis Robert Jr 23F
RF: 99 Gary Sheffield F
DH: 99 Mike Napoli F
BENCH 1: 99 Luis Aparicio F
BENCH 2: 99 Bill Mazeroski F
BENCH 3: 99 Brian Roberts F
BENCH 4: 99 Francisco Lindor 23F
SP 1: 99 Roy Oswalt F
SP 2: 99 Robby Ray F
SP 3: 99 Catfish Hunter F
SP 4: 99 Corbin Burnes 23F
SP 5: 99 Spencer Strider 23F
BP 1: 99 Tanner Scott 23F
BP 2: 99 Aroldis Chapman 23F
BP 3: 97 Michael King 23F
BP 4: 99 Robert Stephenson 23F
BP 5: 97 Matt Brash 23F
BP 6: 97 Jon Gray 23PS
BP 7: 99 Emmanuel Clase 23F
BP 8: 99 Josh Hader 23F (I don't have the card, but I needed a LHP)
There was no Set 6 - so for Season 6
CA: 99 Adley Rutschman 23AS
1B: 99 Buck O'Neil JK
2B: 99 Chase Utley Kaiju
3B: 99 Wade Boggs F
SS: 99 Elly De La Cruz MS
LF: 99 Lou Brock F
CF: 99 Mike Trout MS
RF: 99 Sammy Sosa GR98
DH: 99 Joe Mauer Kaiju
BENCH 1: 99 Rickey Henderson CH
BENCH 2: 99 Cody Bellinger MA
BENCH 3: 99 Jazz Chisholm Jr CH
BENCH 4: 99 Jimmy Rollins F
SP 1: 99 Bob Gibson CH
SP 2: 99 Clayton Kershaw SN
SP 3: 99 Pedro Martinez AW
SP 4: 99 Jacob deGrom AW
SP 5: 99 The Big Unit (Randy Johnson) IN
BP 1: 97 Yennier Cano
BP 2: 99 Bryan Abreu 23PS
BP 3: 99 Aroldis Chapman 23F
BP 4: David Robertson SIG
BP 5: 98 Josh Sborz 23PS
BP 6: 97 Michael King 23F
BP 7: 99 Rich Gossage Kaiju
BP 8: 99 John Franco GR98