There is no right to privacy in the information you describe, such as list of your losses or dealings with an insurer. As a general matter, there is no right to keep one's commercial dealings private. Certain information is protected, such as much medical or health information; it may also be improper to disclose certain identifying information (e.g. a social security number) to random third parties (e.g. a company's HR department can't give employee A's SSN to employee B), but there is no reasonable or general privacy expectation in the information you describe. Indeed, arguably, your own failure to voluntarily disclose your claims history--as least any part of it which happened to have been called for on the renter's insurance application--would itself be actionable.