This article argues for the benefits of a relational approach to understanding centres and peripheries across scales in anthropology, as opposed to an approach based on substantive notions of geographic areas. Based on an extensive literature review, I expose how the salience of the division into Western and Eastern Europe, and, increasingly, into Northern and Southern Europe, obscures the divisions on other scales within and across these divisions. Instead, I argue for thinking relationally about centres and peripheries, highlighting two relevant contributions that the anthropology of postsocialism can make to a European anthropology: one is based on analyses of how places become peripheral, while the other starts from analyses of political-economic changes and their social impacts after the collapse of socialism.