Digital archiving has become a major issue in 21st-century academia. As far as social science is concerned, the particular topic of quantitative data is not immune to this debate. Access to archives is a major issue however, as much as safeguarding data might be. Such is the perspective developed in this article based on the feedback of two entities providing services that enable researchers to access data. The first case dwells on the French data archiving initiative developed within the CNRS to archive and circulate data related to public statistics with the help of academic platforms created for this purpose. The second case is a researcher-led initiative that aims at making data about Mediterranean countries available to the wider public, while ensuring that the highest academic data sourcing and exploitation standards are respected. The article thus refers to the different dimensions of FAIR data, with a particular focus on accessibility.