There are 2 private league rules: You must win 50 games per season and 120 over any 2 consecutive, and you must maintain your minor leagues with 9+ active bats and a nonfatigued staff. 

AL East - A complete rebuild a few seasons ago. Holds the #3 pick this year and has #1, #2, and #7 from the last 3 seasons. 
http://whatifsports.com/HBD/Pages/Popups/FranchiseProfile.aspx?fid=868
AL West - Hovered around .500 for the past few seasons. Not much going on
http://whatifsports.com/HBD/Pages/Popups/FranchiseProfile.aspx?fid=879 AL West - Was a playoff contending team for a while but the owner went AWOL last season. Holds the #5 pick this year as a result.
http://whatifsports.com/HBD/Pages/Popups/FranchiseProfile.aspx?fid=878 AL West - Won the Series 3 seasons ago. Can add some pieces and make another run or start getting younger
http://whatifsports.com/HBD/Pages/Popups/FranchiseProfile.aspx?fid=880

I havent heard back from several owners so their teams are now available and listed above. 

Teams range from rebuild to contenders

Bump

Still some good contending teams available and the AL East team will be a force in a few seasons. 

B

This is a good word with solid fun owners. I came in as a replacement owner and haven't left. Solid competition requirements and a core of owners that helps prevent trade debacles as much as possible. Plenty of villains in this world to create a solid rivalry with. There is a contender available along with a team that has had several high draft picks. Also a good world for a rebuild. There are not 40 win teams blocking the way for a top draft pick. Camp wants you!!!!

Bump

B