2004. The year Boston won it all for the first time in 86 years. Afterwards, a number of commemorative sets were released and a lot of players who likely would not have received any cards, did. Players like Curtis Leskanic, Dave McCarty, Ricky Gutierrez, Adam Hyzdu, Lenny DiNardo, Terry Adams, Mark Malaska, Phil Seibel, and Joe Nelson all had very few cards released, but they still were better off than these players.
After an impressive Spring Training in 2004, Crespo made the Red Sox as a utility infielder. He did not perform particularly well at the Major League level. Crespo had been in the Majors for the Padres in 2001 and 2002 and hit .203 with four home runs in 80 games. Crespo made it into 52 games with the Red Sox into July before being sent to the minors. He hit just .165/.165/.215 in 79 at-bats with two doubles and a triple. He stole two bases. Crespo filled in at shortstop, second, and all three outfield positions. Crespo does have a team-issued postcard and some minor league cards, but no standard cards with the Boston Red Sox.
Of these players, Cesar Crespo played the most for the Red Sox. None of the other players even played in more than five games. Pedro Astacio is the most well-known player, having had a 15 year career in the Majors with some success. If I had to pick one player I would have liked to have seen on some cardboard wearing a Red Sox uniform, it would likely be between Crespo and Astacio. I would probably pick Astacio.