On 27 December 2023, The New York Times filed a lawsuit against OpenAI and Microsoft alleging copyright infringement in connection with OpenAI’s popular ChatGPT technology. This lawsuit is part of the first wave of artificial-intelligence-related lawsuits that have targeted some of the biggest technology companies in the world and some of the best-known artificial intelligence (AI) products on the market. The next wave of AI-related lawsuits will likely target companies and products that are less well known as businesses around the world race to incorporate AI into their products and services. This article discusses the new frontier of insurance for AI risks with that next wave of litigation in mind.