It might be possible to sue them, but those cases are an uphill battle, unless you have some proof they hired somebody they should have know was a risk and gave that person access to your personal information. If you haven't gotten all of the identity theft accounts off your credit report, there might be legal action you could pursue against the credit bureaus and/or the companies reporting identity theft accounts to credit bureaus. If you have already send the bureaus and those companies a dispute and a police report, and they haven't blocked the reporting of the accounts, you should see a consumer law attorney about the possibility of filing a Fair Credit Reporting Act case. Most will provide a free consultation and take good FCRA cases on a contingency basis.
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I concur with Ms. Goodwin's excellent answer.
Please note that no attorney-client relationship is created by my answers to questions on the Avvo forum. My responses should not be construed as legal advice, regardless of whether I am admitted to practice in your state or not. I am an attorney in Miami Beach, FL, practicing foreclosure, bankruptcy, credit repair, debt defense, and aviation law. Please consult a lawyer in your state if you seek legal advice.