Some excerpts:
State of Florida v. United States Department of Health and Human Services, was filed in federal district court in Pensacola and joined by 12 other states via their attorneys general. In May, four states via their governors and three states via their attorneys general joined Florida's suit. Also joining the suit were the National Federation of Independent Business and two individuals from Florida and Washington State.More information in the full article.
Mr. Cuccinelli's suit was filed on behalf of Virginia alone in US district court in Richmond. Cuccinelli, a Republican, has championed conservative causes since taking office in January...
Further, the states claim that Congress is commandeering traditional state powers under the 10th Amendment, such as regulating intrastate insurance programs.
To bolster their 10th Amendment claims, Virginia and five states in the Florida suit -- Georgia, Idaho, Louisiana, Utah, and Arizona -- created conflict between federal and state laws by passing laws prohibiting government from compelling their citizens to purchase health insurance.
The October 3, 2010 Washington Times has more information on the separate voter initiatives in CO, AZ, and OK to exempt residents from the ObamaCare mandatory insurance requirements. Read more at "Voters in 3 states to consider opting out of 'Obamacare'".
Update: USA Today has its own summary, "Lawsuits over health care law heat up".