This article unites recent writing in extinction studies with work in political ecology, justice theory and museum studies to explore qualitative, cultural approaches to extinction. I examine the role of storytelling and the power of narratives in addressing nonhuman extinction. Analysing the case study of a permanent gallery on extinction, evolution and biodiversity loss – the Survival Gallery of the National Museum of Scotland – I utilise a more-than-textual approach to narrative analysis. This paper explores the diverse ways in which the gallery relates stories of ‘natural’ extinction to the contemporary anthropogenic ‘Sixth Mass Extinction’. The Survival Gallery narrates a remarkably complex compilation of extinction stories, but the gallery’s narrative avoids areas of conflict or controversy, obscures justice concerns and ultimately presents a problematic depiction of a universalised humanity. Using this analysis of museum extinction storytelling, the paper contributes to emerging conceptualisations of multispecies justice frameworks. The article explores the possibilities and challenges of museum storytelling in grappling with complicated pasts and envisioning potential futures of survival, coexistence and flourishing. The paper concludes by considering how a multispecies justice approach to narrating extinction (and other entangled ecological-social phenomena) might flourish within and beyond museums.