There are several powerhouse franchises that haven't been selected even once yet. Here are some notable twists available to each from other franchises:
Phillies: Lajoie/Foxx/Jennings/Hack Wilson/Brouthers/Bender/H.Coveleski/P. Martinez
A's: E. Collins/Cobb/Speaker/Foxx (twisted from Red Sox year)/Lajoie (has $9M year with Clev or can use exception)
Indians: Lajoie/Speaker/J. Jackson/Cy Young/Gooden/F. Robinson/Newhouser/Giambi
White Sox: A. Simmons/Cash/J. Jackson/Sosa/E.Collins/Belle/Fisk/Carlton/Seaver/Bender
Pirates: Bonds/Joe Kelley/Browning/Bautista/Babe Herman/Greenberg/Silver King/Chesbro/Vance/Tudor
Then you also get one hitter and one pitcher exception you can add. For the White Sox you could take Appling & Walsh, for the Indians Joss & Boudreau, the Phils could add Alexander & O'Doul, etc..