What a cool idea for a thread! I'll do two teams - one with player stats weighted heavier (and a full team, not just 9), the other with card significance (sticking to the OP 9-card rule). My position players are in batting-order form for the stat significance. The pitchers are in no particular order. I'm an Indians fan, so I'll use American League rules and add a DH.
Card Significance
C: 1931 Harrison Studios Postcard Josh Gibson (Want)
1B: 1933 Goudey Lou Gehrig (Want)
2B: 1948 Leaf Jackie Robinson (Want)
3B: 1952 Topps Eddie Mathews (Want)
SS: T206 Honus Wagner (Want

)
LF: 1915 Cracker Jack Joe Jackson (Want

)
CF: 1989 Upper Deck Ken Griffey Jr. (Have)
RF: 1951 Bowman Mickey Mantle (Want

)
P: 1914 Baltimore News Babe Ruth (Want

)
Player Stat Significance
LF: 1980 Topps Rickey Henderson (Have)
CF: T206 Ty Cobb (Have Red Portrait)
RF: 1933 Goudey #144 Babe Ruth (Want)
DH: 1954 Topps Hank Aaron (Want)
2B: 1922 E120 Roger Hornsby (Want)
C: 1931 Harrison Studios Postcard Josh Gibson (Want)
1B: T206 Nap Lajoie (Have Throwing; played mostly 1B during T206 period)
3B: 1975 Topps George Brett (Want)
SS: T206 Honus Wagner (Want

)
SP: T206 Cy Young (Have Glove Showing)
SP: T206 Walter Johnson (Have Portrait)
SP: 1938 Goudey #264 Bob Feller (Want)
SP: 1968 Topps Nolan Ryan (Want)
SP: 1989 Fleer Randy Johnson Marlboro Ad (Want)
RP: 1992 Bowman Trevor Hoffman (Have)
RP: 1992 Bowman Mariano Rivera (Have)