The open data movement is leading to the massive publishing of court records online, increasing the transparency and accessibility of justice, and enabling the advent of legal technologies building on the wealth of legal data available. However, the sensitive nature of legal decisions also raises important privacy issues. Most of the current practices address the resulting privacy / transparency trade-off by combining access control with (manual or semi-manual) text redaction. In this work, we argue that current practices are insufficient for coping with the massive access to legal data, in the sense that restrictive access control policies are detrimental to both openness and to utility while text redaction is unable to provide sound privacy protection. Thus, we advocate for a integrative approach that could benefit from the latest developments in the privacy-preserving data publishing domain. We present a detailed analysis of the problem and of the current approaches, and propose a straw man multimodal architecture paving the way to a full-fledged privacy-preserving legal data publishing system.