Since the discussion is well underway
http://www.nytimes.com/2004/02/14/politics/campaign/14VEEP.html?hp:
Edwards (3-1)
Advantages: From the south. Great campaigner and debater. Well-liked. Youthful appearance.
Disadvantages: Probably can't carry his own state. Not a great deal of political experience. Too positive to be an attack dog. Youthful appearance.
Gephardt (4-1)
Advantages: Experienced, no skeletons. Aggressive campaigner, would be ideal attack dog. From a key state. The industrial unions' darling, would make Jim Hoffa work his tail off. Balances Kerry's trade position.
Disadvantages: Role he played on IWR. Been around too long and his flip-flopped on too many issues. May not be able to carry his own state. Not from the south.
Richardson (7-1)
Advantages: Hispanic. Breadth of experience, congressman, UN ambassador, cabinet secretary and Governor.
Disadvantages: Hispanic. Now appears willing to be considered, but previously told his constituents he would refuse to be considered. Two Catholics on one ticket? The Monica job offer?
Graham (8-1)
Advantages: Florida. Wealth of experience as governor and senator. Give ticket a southern balance.
Disdvantages: Health? Not terribly exciting. Those notebooks.
Rest of the field: Long odds.